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Finding the Fourth Proportional to 2,601.90, 3,882.72 and 2,325

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Solution

The fourth proportional to 2,601.90, 3,882.72 and 2,325 is: 3,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.90 : 3,882.72 = 2,325 : x
  2. Step 2: Convert to fraction form
    2,601.90/3,882.72 = 2,325/x
  3. Step 3: Cross multiply
    2,601.90x = 3,882.72 × 2,325
  4. Step 4: Simplify right side
    2,601.90x = 9,027,324
  5. Step 5: Solve for x
    x = 9,027,324/2,601.90
  6. Step 6: Final answer
    x = 3,469.51

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Why These Related Problems?

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