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Finding the Fourth Proportional to 3,282.60, 4,922.49 and 1,201.92

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Solution

The fourth proportional to 3,282.60, 4,922.49 and 1,201.92 is: 1,802.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.60 : 4,922.49 = 1,201.92 : x
  2. Step 2: Convert to fraction form
    3,282.60/4,922.49 = 1,201.92/x
  3. Step 3: Cross multiply
    3,282.60x = 4,922.49 × 1,201.92
  4. Step 4: Simplify right side
    3,282.60x = 5,916,439.18
  5. Step 5: Solve for x
    x = 5,916,439.18/3,282.60
  6. Step 6: Final answer
    x = 1,802.36

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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.