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Finding the Fourth Proportional to 2,724.34, 4,086.42 and 1,185.34

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Solution

The fourth proportional to 2,724.34, 4,086.42 and 1,185.34 is: 1,777.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.34 : 4,086.42 = 1,185.34 : x
  2. Step 2: Convert to fraction form
    2,724.34/4,086.42 = 1,185.34/x
  3. Step 3: Cross multiply
    2,724.34x = 4,086.42 × 1,185.34
  4. Step 4: Simplify right side
    2,724.34x = 4,843,797.08
  5. Step 5: Solve for x
    x = 4,843,797.08/2,724.34
  6. Step 6: Final answer
    x = 1,777.97

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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.