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Finding the Fourth Proportional to 1,631.31, 2,251.17 and 885.21

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Solution

The fourth proportional to 1,631.31, 2,251.17 and 885.21 is: 1,221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.31 : 2,251.17 = 885.21 : x
  2. Step 2: Convert to fraction form
    1,631.31/2,251.17 = 885.21/x
  3. Step 3: Cross multiply
    1,631.31x = 2,251.17 × 885.21
  4. Step 4: Simplify right side
    1,631.31x = 1,992,758.20
  5. Step 5: Solve for x
    x = 1,992,758.20/1,631.31
  6. Step 6: Final answer
    x = 1,221.57

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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.