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Finding the Fourth Proportional to 2,727.53, 4,091.84 and 996.29

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Solution

The fourth proportional to 2,727.53, 4,091.84 and 996.29 is: 1,494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.53 : 4,091.84 = 996.29 : x
  2. Step 2: Convert to fraction form
    2,727.53/4,091.84 = 996.29/x
  3. Step 3: Cross multiply
    2,727.53x = 4,091.84 × 996.29
  4. Step 4: Simplify right side
    2,727.53x = 4,076,659.27
  5. Step 5: Solve for x
    x = 4,076,659.27/2,727.53
  6. Step 6: Final answer
    x = 1,494.63

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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.