Finding the Fourth Proportional to 1,665, 2,297.70 and 966.42
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Solution
The fourth proportional to 1,665, 2,297.70 and 966.42 is: 1,333.66
Step by Step Solution
- Step 1: Write the proportion equation
1,665 : 2,297.70 = 966.42 : x - Step 2: Convert to fraction form
1,665/2,297.70 = 966.42/x - Step 3: Cross multiply
1,665x = 2,297.70 × 966.42 - Step 4: Simplify right side
1,665x = 2,220,543.23 - Step 5: Solve for x
x = 2,220,543.23/1,665 - Step 6: Final answer
x = 1,333.66
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.