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Finding the Fourth Proportional to 2,727.68, 4,091.42 and 878.81

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Solution

The fourth proportional to 2,727.68, 4,091.42 and 878.81 is: 1,318.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.68 : 4,091.42 = 878.81 : x
  2. Step 2: Convert to fraction form
    2,727.68/4,091.42 = 878.81/x
  3. Step 3: Cross multiply
    2,727.68x = 4,091.42 × 878.81
  4. Step 4: Simplify right side
    2,727.68x = 3,595,557.61
  5. Step 5: Solve for x
    x = 3,595,557.61/2,727.68
  6. Step 6: Final answer
    x = 1,318.17

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Why These Related Problems?

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