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Finding the Fourth Proportional to 2,251.92, 3,375.68 and 1,097.04

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Solution

The fourth proportional to 2,251.92, 3,375.68 and 1,097.04 is: 1,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.92 : 3,375.68 = 1,097.04 : x
  2. Step 2: Convert to fraction form
    2,251.92/3,375.68 = 1,097.04/x
  3. Step 3: Cross multiply
    2,251.92x = 3,375.68 × 1,097.04
  4. Step 4: Simplify right side
    2,251.92x = 3,703,255.99
  5. Step 5: Solve for x
    x = 3,703,255.99/2,251.92
  6. Step 6: Final answer
    x = 1,644.49

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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.