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Finding the Fourth Proportional to 2,743.97, 4,116.18 and 1,282.32

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Solution

The fourth proportional to 2,743.97, 4,116.18 and 1,282.32 is: 1,923.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.97 : 4,116.18 = 1,282.32 : x
  2. Step 2: Convert to fraction form
    2,743.97/4,116.18 = 1,282.32/x
  3. Step 3: Cross multiply
    2,743.97x = 4,116.18 × 1,282.32
  4. Step 4: Simplify right side
    2,743.97x = 5,278,259.94
  5. Step 5: Solve for x
    x = 5,278,259.94/2,743.97
  6. Step 6: Final answer
    x = 1,923.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.