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Finding the Fourth Proportional to 2,872.57, 4,309.31 and 1,229.13

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Solution

The fourth proportional to 2,872.57, 4,309.31 and 1,229.13 is: 1,843.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.57 : 4,309.31 = 1,229.13 : x
  2. Step 2: Convert to fraction form
    2,872.57/4,309.31 = 1,229.13/x
  3. Step 3: Cross multiply
    2,872.57x = 4,309.31 × 1,229.13
  4. Step 4: Simplify right side
    2,872.57x = 5,296,702.20
  5. Step 5: Solve for x
    x = 5,296,702.20/2,872.57
  6. Step 6: Final answer
    x = 1,843.89

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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.