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Finding the Fourth Proportional to 2,247.52, 3,371.64 and 766.88

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Solution

The fourth proportional to 2,247.52, 3,371.64 and 766.88 is: 1,150.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.52 : 3,371.64 = 766.88 : x
  2. Step 2: Convert to fraction form
    2,247.52/3,371.64 = 766.88/x
  3. Step 3: Cross multiply
    2,247.52x = 3,371.64 × 766.88
  4. Step 4: Simplify right side
    2,247.52x = 2,585,643.28
  5. Step 5: Solve for x
    x = 2,585,643.28/2,247.52
  6. Step 6: Final answer
    x = 1,150.44

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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.