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Finding the Fourth Proportional to 2,661.75, 3,964.51 and 2,522.97

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Solution

The fourth proportional to 2,661.75, 3,964.51 and 2,522.97 is: 3,757.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.75 : 3,964.51 = 2,522.97 : x
  2. Step 2: Convert to fraction form
    2,661.75/3,964.51 = 2,522.97/x
  3. Step 3: Cross multiply
    2,661.75x = 3,964.51 × 2,522.97
  4. Step 4: Simplify right side
    2,661.75x = 10,002,339.79
  5. Step 5: Solve for x
    x = 10,002,339.79/2,661.75
  6. Step 6: Final answer
    x = 3,757.81

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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.