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Finding the Fourth Proportional to 1,989.97, 2,747.39 and 1,282.06

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Solution

The fourth proportional to 1,989.97, 2,747.39 and 1,282.06 is: 1,770.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.97 : 2,747.39 = 1,282.06 : x
  2. Step 2: Convert to fraction form
    1,989.97/2,747.39 = 1,282.06/x
  3. Step 3: Cross multiply
    1,989.97x = 2,747.39 × 1,282.06
  4. Step 4: Simplify right side
    1,989.97x = 3,522,315.85
  5. Step 5: Solve for x
    x = 3,522,315.85/1,989.97
  6. Step 6: Final answer
    x = 1,770.04

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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.