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Finding the Fourth Proportional to 2,728.80, 4,092.39 and 997.02

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Solution

The fourth proportional to 2,728.80, 4,092.39 and 997.02 is: 1,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.80 : 4,092.39 = 997.02 : x
  2. Step 2: Convert to fraction form
    2,728.80/4,092.39 = 997.02/x
  3. Step 3: Cross multiply
    2,728.80x = 4,092.39 × 997.02
  4. Step 4: Simplify right side
    2,728.80x = 4,080,194.68
  5. Step 5: Solve for x
    x = 4,080,194.68/2,728.80
  6. Step 6: Final answer
    x = 1,495.23

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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.