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Finding the Fourth Proportional to 1,591.25, 2,195.94 and 892.64

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Solution

The fourth proportional to 1,591.25, 2,195.94 and 892.64 is: 1,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.25 : 2,195.94 = 892.64 : x
  2. Step 2: Convert to fraction form
    1,591.25/2,195.94 = 892.64/x
  3. Step 3: Cross multiply
    1,591.25x = 2,195.94 × 892.64
  4. Step 4: Simplify right side
    1,591.25x = 1,960,183.88
  5. Step 5: Solve for x
    x = 1,960,183.88/1,591.25
  6. Step 6: Final answer
    x = 1,231.85

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Why These Related Problems?

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