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Finding the Fourth Proportional to 2,146.89, 3,221.78 and 992.73

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Solution

The fourth proportional to 2,146.89, 3,221.78 and 992.73 is: 1,489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.89 : 3,221.78 = 992.73 : x
  2. Step 2: Convert to fraction form
    2,146.89/3,221.78 = 992.73/x
  3. Step 3: Cross multiply
    2,146.89x = 3,221.78 × 992.73
  4. Step 4: Simplify right side
    2,146.89x = 3,198,352.70
  5. Step 5: Solve for x
    x = 3,198,352.70/2,146.89
  6. Step 6: Final answer
    x = 1,489.76

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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.