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Finding the Fourth Proportional to 3,122.97, 4,685.82 and 1,660.41

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Solution

The fourth proportional to 3,122.97, 4,685.82 and 1,660.41 is: 2,491.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.97 : 4,685.82 = 1,660.41 : x
  2. Step 2: Convert to fraction form
    3,122.97/4,685.82 = 1,660.41/x
  3. Step 3: Cross multiply
    3,122.97x = 4,685.82 × 1,660.41
  4. Step 4: Simplify right side
    3,122.97x = 7,780,382.39
  5. Step 5: Solve for x
    x = 7,780,382.39/3,122.97
  6. Step 6: Final answer
    x = 2,491.34

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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.