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Finding the Fourth Proportional to 1,631.10, 2,251.18 and 967.88

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Solution

The fourth proportional to 1,631.10, 2,251.18 and 967.88 is: 1,335.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.10 : 2,251.18 = 967.88 : x
  2. Step 2: Convert to fraction form
    1,631.10/2,251.18 = 967.88/x
  3. Step 3: Cross multiply
    1,631.10x = 2,251.18 × 967.88
  4. Step 4: Simplify right side
    1,631.10x = 2,178,872.10
  5. Step 5: Solve for x
    x = 2,178,872.10/1,631.10
  6. Step 6: Final answer
    x = 1,335.83

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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.