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Finding the Fourth Proportional to 2,727.09, 4,091.29 and 878.38

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Solution

The fourth proportional to 2,727.09, 4,091.29 and 878.38 is: 1,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.09 : 4,091.29 = 878.38 : x
  2. Step 2: Convert to fraction form
    2,727.09/4,091.29 = 878.38/x
  3. Step 3: Cross multiply
    2,727.09x = 4,091.29 × 878.38
  4. Step 4: Simplify right side
    2,727.09x = 3,593,707.31
  5. Step 5: Solve for x
    x = 3,593,707.31/2,727.09
  6. Step 6: Final answer
    x = 1,317.78

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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.