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Finding the Fourth Proportional to 3,240.73, 4,471.09 and 1,965.02

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Solution

The fourth proportional to 3,240.73, 4,471.09 and 1,965.02 is: 2,711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,240.73 : 4,471.09 = 1,965.02 : x
  2. Step 2: Convert to fraction form
    3,240.73/4,471.09 = 1,965.02/x
  3. Step 3: Cross multiply
    3,240.73x = 4,471.09 × 1,965.02
  4. Step 4: Simplify right side
    3,240.73x = 8,785,781.27
  5. Step 5: Solve for x
    x = 8,785,781.27/3,240.73
  6. Step 6: Final answer
    x = 2,711.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.