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Finding the Fourth Proportional to 2,282.97, 3,149.76 and 1,397.85

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Solution

The fourth proportional to 2,282.97, 3,149.76 and 1,397.85 is: 1,928.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.97 : 3,149.76 = 1,397.85 : x
  2. Step 2: Convert to fraction form
    2,282.97/3,149.76 = 1,397.85/x
  3. Step 3: Cross multiply
    2,282.97x = 3,149.76 × 1,397.85
  4. Step 4: Simplify right side
    2,282.97x = 4,402,892.02
  5. Step 5: Solve for x
    x = 4,402,892.02/2,282.97
  6. Step 6: Final answer
    x = 1,928.58

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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.