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Finding the Fourth Proportional to 3,200.40, 4,799.39 and 1,252.17

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Solution

The fourth proportional to 3,200.40, 4,799.39 and 1,252.17 is: 1,877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.40 : 4,799.39 = 1,252.17 : x
  2. Step 2: Convert to fraction form
    3,200.40/4,799.39 = 1,252.17/x
  3. Step 3: Cross multiply
    3,200.40x = 4,799.39 × 1,252.17
  4. Step 4: Simplify right side
    3,200.40x = 6,009,645.92
  5. Step 5: Solve for x
    x = 6,009,645.92/3,200.40
  6. Step 6: Final answer
    x = 1,877.78

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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.