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Finding the Fourth Proportional to 2,593.71, 3,892.23 and 1,033.47

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Solution

The fourth proportional to 2,593.71, 3,892.23 and 1,033.47 is: 1,550.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.71 : 3,892.23 = 1,033.47 : x
  2. Step 2: Convert to fraction form
    2,593.71/3,892.23 = 1,033.47/x
  3. Step 3: Cross multiply
    2,593.71x = 3,892.23 × 1,033.47
  4. Step 4: Simplify right side
    2,593.71x = 4,022,502.94
  5. Step 5: Solve for x
    x = 4,022,502.94/2,593.71
  6. Step 6: Final answer
    x = 1,550.87

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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.