Question

1. the ratio of pounds to kilograms is 1:2.2. use this fact to complete the work below for finding out how many kilograms are equal to 4 pounds.

Explanation:

Step1: Understand the ratio

The ratio of pounds to kilograms is \(1:2.2\), which means \(1\) pound \( = 2.2\) kilograms? Wait, no, wait. Wait, the ratio of pounds to kilograms—wait, actually, the standard conversion is that 1 kilogram is approximately 2.2 pounds. Wait, maybe the problem has it reversed? Wait, the problem says "the ratio of pounds to kilograms is \(1:2.2\)". So if we have \(x\) pounds, the kilograms would be \(x\times2.2\)? Wait, no, let's re - read. The problem is to find how many kilograms are equal to 4 pounds. Given the ratio of pounds to kilograms is \(1:2.2\), so 1 pound corresponds to 2.2 kilograms? Wait, that seems incorrect because 1 kilogram is about 2.2 pounds. But maybe the problem has the ratio as pounds:kilograms = 1:2.2, so to find kilograms for 4 pounds, we use the ratio.

Step2: Set up the proportion

Let \(x\) be the number of kilograms in 4 pounds. The ratio of pounds to kilograms is \(1:2.2\), so for 4 pounds, we have the proportion \(\frac{1}{2.2}=\frac{4}{x}\)? Wait, no, if pounds:kilograms = 1:2.2, then pounds = 1, kilograms = 2.2. So if we have 4 pounds, then kilograms \(=4\times2.2\)? Wait, maybe the problem's ratio is pounds to kilograms as 1:2.2, meaning 1 pound is 2.2 kilograms (even though that's not the standard, but we follow the problem). So to find kilograms for 4 pounds, we multiply 4 by 2.2.

Wait, the diagram shows a top part with 1 and a curved arrow, then 2.2, and a bottom part with 4 and a curved arrow, and we need to find the value. So the operation is \(4\times2.2\)? Wait, no, maybe the ratio is pounds to kilograms, so if 1 pound is 2.2 kilograms, then 4 pounds would be \(4\times2.2 = 8.8\) kilograms. Wait, let's do the calculation.

\(4\times2.2=8.8\)

Answer:

If we follow the ratio given (pounds:kilograms = 1:2.2), then 4 pounds is equal to \(4\times2.2 = 8.8\) kilograms. So the answer is \(8.8\) (assuming the problem is to find kilograms for 4 pounds using the given ratio).