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Finding the Fourth Proportional to 1,593.70, 2,387.79 and 863.78

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Solution

The fourth proportional to 1,593.70, 2,387.79 and 863.78 is: 1,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.70 : 2,387.79 = 863.78 : x
  2. Step 2: Convert to fraction form
    1,593.70/2,387.79 = 863.78/x
  3. Step 3: Cross multiply
    1,593.70x = 2,387.79 × 863.78
  4. Step 4: Simplify right side
    1,593.70x = 2,062,513.31
  5. Step 5: Solve for x
    x = 2,062,513.31/1,593.70
  6. Step 6: Final answer
    x = 1,294.17

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