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Finding the Fourth Proportional to 2,727.69, 4,092.14 and 780.04

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Solution

The fourth proportional to 2,727.69, 4,092.14 and 780.04 is: 1,170.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.69 : 4,092.14 = 780.04 : x
  2. Step 2: Convert to fraction form
    2,727.69/4,092.14 = 780.04/x
  3. Step 3: Cross multiply
    2,727.69x = 4,092.14 × 780.04
  4. Step 4: Simplify right side
    2,727.69x = 3,192,032.89
  5. Step 5: Solve for x
    x = 3,192,032.89/2,727.69
  6. Step 6: Final answer
    x = 1,170.23

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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.