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Finding the Fourth Proportional to 2,727.59, 4,092.04 and 878.88

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Solution

The fourth proportional to 2,727.59, 4,092.04 and 878.88 is: 1,318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.59 : 4,092.04 = 878.88 : x
  2. Step 2: Convert to fraction form
    2,727.59/4,092.04 = 878.88/x
  3. Step 3: Cross multiply
    2,727.59x = 4,092.04 × 878.88
  4. Step 4: Simplify right side
    2,727.59x = 3,596,412.12
  5. Step 5: Solve for x
    x = 3,596,412.12/2,727.59
  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.