QUESTION IMAGE
Question
which proportion could you use to convert 3,000 meters to kilometers?
$\frac{1,000 \text{ meters}}{1 \text{ kilometer}}=\frac{3,000 \text{ meters}}{? \text{ kilometers}}$
$\frac{1,000 \text{ meters}}{1 \text{ kilometer}}=\frac{? \text{ kilometers}}{3,000 \text{ meters}}$
convert.
3,000 meters = kilometers
Step1: Recall conversion ratio
We know that 1 kilometer = 1000 meters. To convert meters to kilometers, we set up a proportion. The correct proportion has the same units in the numerators and denominators on both sides of the equal - sign. So the proportion $\frac{1000\text{ meters}}{1\text{ kilometer}}=\frac{3000\text{ meters}}{x\text{ kilometers}}$ is correct, where $x$ is the number of kilometers equivalent to 3000 meters.
Step2: Solve the proportion
Cross - multiply: $1000x = 3000\times1$. Then $x=\frac{3000}{1000}=3$.
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The correct proportion is $\frac{1000\text{ meters}}{1\text{ kilometer}}=\frac{3000\text{ meters}}{?\text{ kilometers}}$, and 3000 meters = 3 kilometers.