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Finding the Fourth Proportional to 2,638.42, 3,958.17 and 1,251.91

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Solution

The fourth proportional to 2,638.42, 3,958.17 and 1,251.91 is: 1,878.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.42 : 3,958.17 = 1,251.91 : x
  2. Step 2: Convert to fraction form
    2,638.42/3,958.17 = 1,251.91/x
  3. Step 3: Cross multiply
    2,638.42x = 3,958.17 × 1,251.91
  4. Step 4: Simplify right side
    2,638.42x = 4,955,250.59
  5. Step 5: Solve for x
    x = 4,955,250.59/2,638.42
  6. Step 6: Final answer
    x = 1,878.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.