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Finding the Fourth Proportional to 1,591.49, 2,196.24 and 892.86

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Solution

The fourth proportional to 1,591.49, 2,196.24 and 892.86 is: 1,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.49 : 2,196.24 = 892.86 : x
  2. Step 2: Convert to fraction form
    1,591.49/2,196.24 = 892.86/x
  3. Step 3: Cross multiply
    1,591.49x = 2,196.24 × 892.86
  4. Step 4: Simplify right side
    1,591.49x = 1,960,934.85
  5. Step 5: Solve for x
    x = 1,960,934.85/1,591.49
  6. Step 6: Final answer
    x = 1,232.14

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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.