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Finding the Fourth Proportional to 2,125.31, 3,187.46 and 892.74

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Solution

The fourth proportional to 2,125.31, 3,187.46 and 892.74 is: 1,338.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.31 : 3,187.46 = 892.74 : x
  2. Step 2: Convert to fraction form
    2,125.31/3,187.46 = 892.74/x
  3. Step 3: Cross multiply
    2,125.31x = 3,187.46 × 892.74
  4. Step 4: Simplify right side
    2,125.31x = 2,845,568.58
  5. Step 5: Solve for x
    x = 2,845,568.58/2,125.31
  6. Step 6: Final answer
    x = 1,338.89

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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.