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Finding the Fourth Proportional to 2,231.97, 3,079.22 and 1,435.17

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Solution

The fourth proportional to 2,231.97, 3,079.22 and 1,435.17 is: 1,979.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.97 : 3,079.22 = 1,435.17 : x
  2. Step 2: Convert to fraction form
    2,231.97/3,079.22 = 1,435.17/x
  3. Step 3: Cross multiply
    2,231.97x = 3,079.22 × 1,435.17
  4. Step 4: Simplify right side
    2,231.97x = 4,419,204.17
  5. Step 5: Solve for x
    x = 4,419,204.17/2,231.97
  6. Step 6: Final answer
    x = 1,979.96

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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.