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Finding the Fourth Proportional to 2,727.61, 4,091.57 and 878.59

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Solution

The fourth proportional to 2,727.61, 4,091.57 and 878.59 is: 1,317.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.61 : 4,091.57 = 878.59 : x
  2. Step 2: Convert to fraction form
    2,727.61/4,091.57 = 878.59/x
  3. Step 3: Cross multiply
    2,727.61x = 4,091.57 × 878.59
  4. Step 4: Simplify right side
    2,727.61x = 3,594,812.49
  5. Step 5: Solve for x
    x = 3,594,812.49/2,727.61
  6. Step 6: Final answer
    x = 1,317.93

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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.