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Finding the Fourth Proportional to 2,469.72, 3,704.67 and 1,687.86

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Solution

The fourth proportional to 2,469.72, 3,704.67 and 1,687.86 is: 2,531.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.72 : 3,704.67 = 1,687.86 : x
  2. Step 2: Convert to fraction form
    2,469.72/3,704.67 = 1,687.86/x
  3. Step 3: Cross multiply
    2,469.72x = 3,704.67 × 1,687.86
  4. Step 4: Simplify right side
    2,469.72x = 6,252,964.31
  5. Step 5: Solve for x
    x = 6,252,964.31/2,469.72
  6. Step 6: Final answer
    x = 2,531.85

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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.