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Finding the Fourth Proportional to 2,727.48, 4,091.28 and 878.76

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Solution

The fourth proportional to 2,727.48, 4,091.28 and 878.76 is: 1,318.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.48 : 4,091.28 = 878.76 : x
  2. Step 2: Convert to fraction form
    2,727.48/4,091.28 = 878.76/x
  3. Step 3: Cross multiply
    2,727.48x = 4,091.28 × 878.76
  4. Step 4: Simplify right side
    2,727.48x = 3,595,253.21
  5. Step 5: Solve for x
    x = 3,595,253.21/2,727.48
  6. Step 6: Final answer
    x = 1,318.16

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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.