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Finding the Fourth Proportional to 2,687.12, 4,031.22 and 838.25

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Solution

The fourth proportional to 2,687.12, 4,031.22 and 838.25 is: 1,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.12 : 4,031.22 = 838.25 : x
  2. Step 2: Convert to fraction form
    2,687.12/4,031.22 = 838.25/x
  3. Step 3: Cross multiply
    2,687.12x = 4,031.22 × 838.25
  4. Step 4: Simplify right side
    2,687.12x = 3,379,163.55
  5. Step 5: Solve for x
    x = 3,379,163.55/2,687.12
  6. Step 6: Final answer
    x = 1,257.54

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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.