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Finding the Fourth Proportional to 2,727.80, 4,092.40 and 780.15

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Solution

The fourth proportional to 2,727.80, 4,092.40 and 780.15 is: 1,170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.80 : 4,092.40 = 780.15 : x
  2. Step 2: Convert to fraction form
    2,727.80/4,092.40 = 780.15/x
  3. Step 3: Cross multiply
    2,727.80x = 4,092.40 × 780.15
  4. Step 4: Simplify right side
    2,727.80x = 3,192,702.18
  5. Step 5: Solve for x
    x = 3,192,702.18/2,727.80
  6. Step 6: Final answer
    x = 1,170.43

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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.