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Finding the Fourth Proportional to 2,230.97, 3,077.84 and 1,434.17

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Solution

The fourth proportional to 2,230.97, 3,077.84 and 1,434.17 is: 1,978.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.97 : 3,077.84 = 1,434.17 : x
  2. Step 2: Convert to fraction form
    2,230.97/3,077.84 = 1,434.17/x
  3. Step 3: Cross multiply
    2,230.97x = 3,077.84 × 1,434.17
  4. Step 4: Simplify right side
    2,230.97x = 4,414,157.07
  5. Step 5: Solve for x
    x = 4,414,157.07/2,230.97
  6. Step 6: Final answer
    x = 1,978.59

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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.