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Finding the Fourth Proportional to 1,591.31, 2,196.05 and 892.69

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Solution

The fourth proportional to 1,591.31, 2,196.05 and 892.69 is: 1,231.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.31 : 2,196.05 = 892.69 : x
  2. Step 2: Convert to fraction form
    1,591.31/2,196.05 = 892.69/x
  3. Step 3: Cross multiply
    1,591.31x = 2,196.05 × 892.69
  4. Step 4: Simplify right side
    1,591.31x = 1,960,381.92
  5. Step 5: Solve for x
    x = 1,960,381.92/1,591.31
  6. Step 6: Final answer
    x = 1,231.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.