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Finding the Fourth Proportional to 2,724.08, 4,086.73 and 992.69

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Solution

The fourth proportional to 2,724.08, 4,086.73 and 992.69 is: 1,489.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.08 : 4,086.73 = 992.69 : x
  2. Step 2: Convert to fraction form
    2,724.08/4,086.73 = 992.69/x
  3. Step 3: Cross multiply
    2,724.08x = 4,086.73 × 992.69
  4. Step 4: Simplify right side
    2,724.08x = 4,056,856.00
  5. Step 5: Solve for x
    x = 4,056,856.00/2,724.08
  6. Step 6: Final answer
    x = 1,489.26

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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.