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Finding the Fourth Proportional to 3,304.73, 4,957.14 and 1,660.43

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Solution

The fourth proportional to 3,304.73, 4,957.14 and 1,660.43 is: 2,490.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.73 : 4,957.14 = 1,660.43 : x
  2. Step 2: Convert to fraction form
    3,304.73/4,957.14 = 1,660.43/x
  3. Step 3: Cross multiply
    3,304.73x = 4,957.14 × 1,660.43
  4. Step 4: Simplify right side
    3,304.73x = 8,230,959.18
  5. Step 5: Solve for x
    x = 8,230,959.18/3,304.73
  6. Step 6: Final answer
    x = 2,490.66

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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.