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Finding the Fourth Proportional to 2,286.97, 3,155.19 and 1,447.36

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Solution

The fourth proportional to 2,286.97, 3,155.19 and 1,447.36 is: 1,996.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.97 : 3,155.19 = 1,447.36 : x
  2. Step 2: Convert to fraction form
    2,286.97/3,155.19 = 1,447.36/x
  3. Step 3: Cross multiply
    2,286.97x = 3,155.19 × 1,447.36
  4. Step 4: Simplify right side
    2,286.97x = 4,566,695.80
  5. Step 5: Solve for x
    x = 4,566,695.80/2,286.97
  6. Step 6: Final answer
    x = 1,996.83

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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.