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Finding the Fourth Proportional to 2,727.33, 4,091.52 and 878.91

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Solution

The fourth proportional to 2,727.33, 4,091.52 and 878.91 is: 1,318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.33 : 4,091.52 = 878.91 : x
  2. Step 2: Convert to fraction form
    2,727.33/4,091.52 = 878.91/x
  3. Step 3: Cross multiply
    2,727.33x = 4,091.52 × 878.91
  4. Step 4: Simplify right side
    2,727.33x = 3,596,077.84
  5. Step 5: Solve for x
    x = 3,596,077.84/2,727.33
  6. Step 6: Final answer
    x = 1,318.53

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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.