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Finding the Fourth Proportional to 2,125.31, 3,188.57 and 892.89

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Solution

The fourth proportional to 2,125.31, 3,188.57 and 892.89 is: 1,339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.31 : 3,188.57 = 892.89 : x
  2. Step 2: Convert to fraction form
    2,125.31/3,188.57 = 892.89/x
  3. Step 3: Cross multiply
    2,125.31x = 3,188.57 × 892.89
  4. Step 4: Simplify right side
    2,125.31x = 2,847,037.80
  5. Step 5: Solve for x
    x = 2,847,037.80/2,125.31
  6. Step 6: Final answer
    x = 1,339.59

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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.