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Finding the Fourth Proportional to 2,569.92, 3,850.02 and 1,251.24

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Solution

The fourth proportional to 2,569.92, 3,850.02 and 1,251.24 is: 1,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.92 : 3,850.02 = 1,251.24 : x
  2. Step 2: Convert to fraction form
    2,569.92/3,850.02 = 1,251.24/x
  3. Step 3: Cross multiply
    2,569.92x = 3,850.02 × 1,251.24
  4. Step 4: Simplify right side
    2,569.92x = 4,817,299.02
  5. Step 5: Solve for x
    x = 4,817,299.02/2,569.92
  6. Step 6: Final answer
    x = 1,874.49

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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.