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Finding the Fourth Proportional to 2,723.59, 3,759.17 and 1,661.72

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Solution

The fourth proportional to 2,723.59, 3,759.17 and 1,661.72 is: 2,293.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.59 : 3,759.17 = 1,661.72 : x
  2. Step 2: Convert to fraction form
    2,723.59/3,759.17 = 1,661.72/x
  3. Step 3: Cross multiply
    2,723.59x = 3,759.17 × 1,661.72
  4. Step 4: Simplify right side
    2,723.59x = 6,246,687.97
  5. Step 5: Solve for x
    x = 6,246,687.97/2,723.59
  6. Step 6: Final answer
    x = 2,293.55

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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.