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Finding the Fourth Proportional to 2,488.17, 3,729.14 and 1,255.89

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Solution

The fourth proportional to 2,488.17, 3,729.14 and 1,255.89 is: 1,882.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.17 : 3,729.14 = 1,255.89 : x
  2. Step 2: Convert to fraction form
    2,488.17/3,729.14 = 1,255.89/x
  3. Step 3: Cross multiply
    2,488.17x = 3,729.14 × 1,255.89
  4. Step 4: Simplify right side
    2,488.17x = 4,683,383.36
  5. Step 5: Solve for x
    x = 4,683,383.36/2,488.17
  6. Step 6: Final answer
    x = 1,882.26

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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.