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Finding the Fourth Proportional to 2,727.96, 4,091.55 and 878.83

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Solution

The fourth proportional to 2,727.96, 4,091.55 and 878.83 is: 1,318.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.96 : 4,091.55 = 878.83 : x
  2. Step 2: Convert to fraction form
    2,727.96/4,091.55 = 878.83/x
  3. Step 3: Cross multiply
    2,727.96x = 4,091.55 × 878.83
  4. Step 4: Simplify right side
    2,727.96x = 3,595,786.38
  5. Step 5: Solve for x
    x = 3,595,786.38/2,727.96
  6. Step 6: Final answer
    x = 1,318.12

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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.