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Finding the Fourth Proportional to 2,247.60, 3,371.55 and 766.80

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Solution

The fourth proportional to 2,247.60, 3,371.55 and 766.80 is: 1,150.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.60 : 3,371.55 = 766.80 : x
  2. Step 2: Convert to fraction form
    2,247.60/3,371.55 = 766.80/x
  3. Step 3: Cross multiply
    2,247.60x = 3,371.55 × 766.80
  4. Step 4: Simplify right side
    2,247.60x = 2,585,304.54
  5. Step 5: Solve for x
    x = 2,585,304.54/2,247.60
  6. Step 6: Final answer
    x = 1,150.25

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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.