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Finding the Fourth Proportional to 3,200.49, 4,796.56 and 1,639.17

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Solution

The fourth proportional to 3,200.49, 4,796.56 and 1,639.17 is: 2,456.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.49 : 4,796.56 = 1,639.17 : x
  2. Step 2: Convert to fraction form
    3,200.49/4,796.56 = 1,639.17/x
  3. Step 3: Cross multiply
    3,200.49x = 4,796.56 × 1,639.17
  4. Step 4: Simplify right side
    3,200.49x = 7,862,377.26
  5. Step 5: Solve for x
    x = 7,862,377.26/3,200.49
  6. Step 6: Final answer
    x = 2,456.62

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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.