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Finding the Fourth Proportional to 1,471.39, 2,209.02 and 986.61

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Solution

The fourth proportional to 1,471.39, 2,209.02 and 986.61 is: 1,481.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.39 : 2,209.02 = 986.61 : x
  2. Step 2: Convert to fraction form
    1,471.39/2,209.02 = 986.61/x
  3. Step 3: Cross multiply
    1,471.39x = 2,209.02 × 986.61
  4. Step 4: Simplify right side
    1,471.39x = 2,179,436.29
  5. Step 5: Solve for x
    x = 2,179,436.29/1,471.39
  6. Step 6: Final answer
    x = 1,481.21

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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.