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Finding the Fourth Proportional to 2,251.92, 3,375.60 and 1,153.92

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Solution

The fourth proportional to 2,251.92, 3,375.60 and 1,153.92 is: 1,729.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.92 : 3,375.60 = 1,153.92 : x
  2. Step 2: Convert to fraction form
    2,251.92/3,375.60 = 1,153.92/x
  3. Step 3: Cross multiply
    2,251.92x = 3,375.60 × 1,153.92
  4. Step 4: Simplify right side
    2,251.92x = 3,895,172.35
  5. Step 5: Solve for x
    x = 3,895,172.35/2,251.92
  6. Step 6: Final answer
    x = 1,729.71

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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.