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Finding the Fourth Proportional to 4,153.80, 6,230.57 and 1,687.89

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Solution

The fourth proportional to 4,153.80, 6,230.57 and 1,687.89 is: 2,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.80 : 6,230.57 = 1,687.89 : x
  2. Step 2: Convert to fraction form
    4,153.80/6,230.57 = 1,687.89/x
  3. Step 3: Cross multiply
    4,153.80x = 6,230.57 × 1,687.89
  4. Step 4: Simplify right side
    4,153.80x = 10,516,508.36
  5. Step 5: Solve for x
    x = 10,516,508.36/4,153.80
  6. Step 6: Final answer
    x = 2,531.78

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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.