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Finding the Fourth Proportional to 2,674.56, 3,982.18 and 2,661.60

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Solution

The fourth proportional to 2,674.56, 3,982.18 and 2,661.60 is: 3,962.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.56 : 3,982.18 = 2,661.60 : x
  2. Step 2: Convert to fraction form
    2,674.56/3,982.18 = 2,661.60/x
  3. Step 3: Cross multiply
    2,674.56x = 3,982.18 × 2,661.60
  4. Step 4: Simplify right side
    2,674.56x = 10,598,970.29
  5. Step 5: Solve for x
    x = 10,598,970.29/2,674.56
  6. Step 6: Final answer
    x = 3,962.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.