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Finding the Fourth Proportional to 2,593.43, 3,578.90 and 1,414.47

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Solution

The fourth proportional to 2,593.43, 3,578.90 and 1,414.47 is: 1,951.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.43 : 3,578.90 = 1,414.47 : x
  2. Step 2: Convert to fraction form
    2,593.43/3,578.90 = 1,414.47/x
  3. Step 3: Cross multiply
    2,593.43x = 3,578.90 × 1,414.47
  4. Step 4: Simplify right side
    2,593.43x = 5,062,250.22
  5. Step 5: Solve for x
    x = 5,062,250.22/2,593.43
  6. Step 6: Final answer
    x = 1,951.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.