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Finding the Fourth Proportional to 2,593.02, 3,578.37 and 1,414.15

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Solution

The fourth proportional to 2,593.02, 3,578.37 and 1,414.15 is: 1,951.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.02 : 3,578.37 = 1,414.15 : x
  2. Step 2: Convert to fraction form
    2,593.02/3,578.37 = 1,414.15/x
  3. Step 3: Cross multiply
    2,593.02x = 3,578.37 × 1,414.15
  4. Step 4: Simplify right side
    2,593.02x = 5,060,351.94
  5. Step 5: Solve for x
    x = 5,060,351.94/2,593.02
  6. Step 6: Final answer
    x = 1,951.53

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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.