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Finding the Fourth Proportional to 1,469.82, 2,028.02 and 997.78

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Solution

The fourth proportional to 1,469.82, 2,028.02 and 997.78 is: 1,376.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.82 : 2,028.02 = 997.78 : x
  2. Step 2: Convert to fraction form
    1,469.82/2,028.02 = 997.78/x
  3. Step 3: Cross multiply
    1,469.82x = 2,028.02 × 997.78
  4. Step 4: Simplify right side
    1,469.82x = 2,023,517.80
  5. Step 5: Solve for x
    x = 2,023,517.80/1,469.82
  6. Step 6: Final answer
    x = 1,376.71

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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.