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Finding the Fourth Proportional to 2,724.60, 4,082.10 and 2,340.60

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Solution

The fourth proportional to 2,724.60, 4,082.10 and 2,340.60 is: 3,506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.60 : 4,082.10 = 2,340.60 : x
  2. Step 2: Convert to fraction form
    2,724.60/4,082.10 = 2,340.60/x
  3. Step 3: Cross multiply
    2,724.60x = 4,082.10 × 2,340.60
  4. Step 4: Simplify right side
    2,724.60x = 9,554,563.26
  5. Step 5: Solve for x
    x = 9,554,563.26/2,724.60
  6. Step 6: Final answer
    x = 3,506.78

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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.