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Finding the Fourth Proportional to 1,627.70, 2,439.82 and 749.12

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Solution

The fourth proportional to 1,627.70, 2,439.82 and 749.12 is: 1,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.70 : 2,439.82 = 749.12 : x
  2. Step 2: Convert to fraction form
    1,627.70/2,439.82 = 749.12/x
  3. Step 3: Cross multiply
    1,627.70x = 2,439.82 × 749.12
  4. Step 4: Simplify right side
    1,627.70x = 1,827,706.70
  5. Step 5: Solve for x
    x = 1,827,706.70/1,627.70
  6. Step 6: Final answer
    x = 1,122.88

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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.