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Finding the Fourth Proportional to 1,591.22, 2,195.88 and 892.60

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Solution

The fourth proportional to 1,591.22, 2,195.88 and 892.60 is: 1,231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.22 : 2,195.88 = 892.60 : x
  2. Step 2: Convert to fraction form
    1,591.22/2,195.88 = 892.60/x
  3. Step 3: Cross multiply
    1,591.22x = 2,195.88 × 892.60
  4. Step 4: Simplify right side
    1,591.22x = 1,960,037.00
  5. Step 5: Solve for x
    x = 1,960,037.00/1,591.22
  6. Step 6: Final answer
    x = 1,231.78

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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.