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Finding the Fourth Proportional to 2,687.20, 4,031.43 and 838.29

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Solution

The fourth proportional to 2,687.20, 4,031.43 and 838.29 is: 1,257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.20 : 4,031.43 = 838.29 : x
  2. Step 2: Convert to fraction form
    2,687.20/4,031.43 = 838.29/x
  3. Step 3: Cross multiply
    2,687.20x = 4,031.43 × 838.29
  4. Step 4: Simplify right side
    2,687.20x = 3,379,507.45
  5. Step 5: Solve for x
    x = 3,379,507.45/2,687.20
  6. Step 6: Final answer
    x = 1,257.63

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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.