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Finding the Fourth Proportional to 3,304.71, 4,957.34 and 1,660.41

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Solution

The fourth proportional to 3,304.71, 4,957.34 and 1,660.41 is: 2,490.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.71 : 4,957.34 = 1,660.41 : x
  2. Step 2: Convert to fraction form
    3,304.71/4,957.34 = 1,660.41/x
  3. Step 3: Cross multiply
    3,304.71x = 4,957.34 × 1,660.41
  4. Step 4: Simplify right side
    3,304.71x = 8,231,208.61
  5. Step 5: Solve for x
    x = 8,231,208.61/3,304.71
  6. Step 6: Final answer
    x = 2,490.75

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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.