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Finding the Fourth Proportional to 2,724.25, 4,086.39 and 993.28

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Solution

The fourth proportional to 2,724.25, 4,086.39 and 993.28 is: 1,489.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.25 : 4,086.39 = 993.28 : x
  2. Step 2: Convert to fraction form
    2,724.25/4,086.39 = 993.28/x
  3. Step 3: Cross multiply
    2,724.25x = 4,086.39 × 993.28
  4. Step 4: Simplify right side
    2,724.25x = 4,058,929.46
  5. Step 5: Solve for x
    x = 4,058,929.46/2,724.25
  6. Step 6: Final answer
    x = 1,489.93

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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.