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Finding the Fourth Proportional to 2,727.77, 4,092.45 and 878.84

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Solution

The fourth proportional to 2,727.77, 4,092.45 and 878.84 is: 1,318.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.77 : 4,092.45 = 878.84 : x
  2. Step 2: Convert to fraction form
    2,727.77/4,092.45 = 878.84/x
  3. Step 3: Cross multiply
    2,727.77x = 4,092.45 × 878.84
  4. Step 4: Simplify right side
    2,727.77x = 3,596,600.35
  5. Step 5: Solve for x
    x = 3,596,600.35/2,727.77
  6. Step 6: Final answer
    x = 1,318.52

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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.