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Finding the Fourth Proportional to 2,247.78, 3,369.22 and 1,150.62

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Solution

The fourth proportional to 2,247.78, 3,369.22 and 1,150.62 is: 1,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.78 : 3,369.22 = 1,150.62 : x
  2. Step 2: Convert to fraction form
    2,247.78/3,369.22 = 1,150.62/x
  3. Step 3: Cross multiply
    2,247.78x = 3,369.22 × 1,150.62
  4. Step 4: Simplify right side
    2,247.78x = 3,876,691.92
  5. Step 5: Solve for x
    x = 3,876,691.92/2,247.78
  6. Step 6: Final answer
    x = 1,724.68

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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.