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Finding the Fourth Proportional to 2,727.56, 4,091.51 and 779.92

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Solution

The fourth proportional to 2,727.56, 4,091.51 and 779.92 is: 1,169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.56 : 4,091.51 = 779.92 : x
  2. Step 2: Convert to fraction form
    2,727.56/4,091.51 = 779.92/x
  3. Step 3: Cross multiply
    2,727.56x = 4,091.51 × 779.92
  4. Step 4: Simplify right side
    2,727.56x = 3,191,042.20
  5. Step 5: Solve for x
    x = 3,191,042.20/2,727.56
  6. Step 6: Final answer
    x = 1,169.92

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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.