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Finding the Fourth Proportional to 2,687.68, 4,031.58 and 1,531

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Solution

The fourth proportional to 2,687.68, 4,031.58 and 1,531 is: 2,296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.68 : 4,031.58 = 1,531 : x
  2. Step 2: Convert to fraction form
    2,687.68/4,031.58 = 1,531/x
  3. Step 3: Cross multiply
    2,687.68x = 4,031.58 × 1,531
  4. Step 4: Simplify right side
    2,687.68x = 6,172,348.98
  5. Step 5: Solve for x
    x = 6,172,348.98/2,687.68
  6. Step 6: Final answer
    x = 2,296.53

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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.