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Finding the Fourth Proportional to 2,727.60, 4,091.48 and 779.76

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Solution

The fourth proportional to 2,727.60, 4,091.48 and 779.76 is: 1,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.60 : 4,091.48 = 779.76 : x
  2. Step 2: Convert to fraction form
    2,727.60/4,091.48 = 779.76/x
  3. Step 3: Cross multiply
    2,727.60x = 4,091.48 × 779.76
  4. Step 4: Simplify right side
    2,727.60x = 3,190,372.44
  5. Step 5: Solve for x
    x = 3,190,372.44/2,727.60
  6. Step 6: Final answer
    x = 1,169.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.