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Finding the Fourth Proportional to 2,713.38, 4,070.07 and 1,414.14

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Solution

The fourth proportional to 2,713.38, 4,070.07 and 1,414.14 is: 2,121.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.38 : 4,070.07 = 1,414.14 : x
  2. Step 2: Convert to fraction form
    2,713.38/4,070.07 = 1,414.14/x
  3. Step 3: Cross multiply
    2,713.38x = 4,070.07 × 1,414.14
  4. Step 4: Simplify right side
    2,713.38x = 5,755,648.79
  5. Step 5: Solve for x
    x = 5,755,648.79/2,713.38
  6. Step 6: Final answer
    x = 2,121.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.