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Finding the Fourth Proportional to 2,568.27, 3,540.95 and 1,727.19

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Solution

The fourth proportional to 2,568.27, 3,540.95 and 1,727.19 is: 2,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.27 : 3,540.95 = 1,727.19 : x
  2. Step 2: Convert to fraction form
    2,568.27/3,540.95 = 1,727.19/x
  3. Step 3: Cross multiply
    2,568.27x = 3,540.95 × 1,727.19
  4. Step 4: Simplify right side
    2,568.27x = 6,115,867.09
  5. Step 5: Solve for x
    x = 6,115,867.09/2,568.27
  6. Step 6: Final answer
    x = 2,381.32

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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.