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Finding the Fourth Proportional to 2,616.53, 3,923.17 and 1,229.27

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Solution

The fourth proportional to 2,616.53, 3,923.17 and 1,229.27 is: 1,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.53 : 3,923.17 = 1,229.27 : x
  2. Step 2: Convert to fraction form
    2,616.53/3,923.17 = 1,229.27/x
  3. Step 3: Cross multiply
    2,616.53x = 3,923.17 × 1,229.27
  4. Step 4: Simplify right side
    2,616.53x = 4,822,641.92
  5. Step 5: Solve for x
    x = 4,822,641.92/2,616.53
  6. Step 6: Final answer
    x = 1,843.14

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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.