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Finding the Fourth Proportional to 2,247.39, 3,371.85 and 687.42

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Solution

The fourth proportional to 2,247.39, 3,371.85 and 687.42 is: 1,031.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.39 : 3,371.85 = 687.42 : x
  2. Step 2: Convert to fraction form
    2,247.39/3,371.85 = 687.42/x
  3. Step 3: Cross multiply
    2,247.39x = 3,371.85 × 687.42
  4. Step 4: Simplify right side
    2,247.39x = 2,317,877.13
  5. Step 5: Solve for x
    x = 2,317,877.13/2,247.39
  6. Step 6: Final answer
    x = 1,031.36

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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.