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Finding the Fourth Proportional to 2,687.13, 4,031.24 and 838.17

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Solution

The fourth proportional to 2,687.13, 4,031.24 and 838.17 is: 1,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.13 : 4,031.24 = 838.17 : x
  2. Step 2: Convert to fraction form
    2,687.13/4,031.24 = 838.17/x
  3. Step 3: Cross multiply
    2,687.13x = 4,031.24 × 838.17
  4. Step 4: Simplify right side
    2,687.13x = 3,378,860.24
  5. Step 5: Solve for x
    x = 3,378,860.24/2,687.13
  6. Step 6: Final answer
    x = 1,257.42

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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.