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Finding the Fourth Proportional to 2,632.38, 3,949.17 and 901

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Solution

The fourth proportional to 2,632.38, 3,949.17 and 901 is: 1,351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.38 : 3,949.17 = 901 : x
  2. Step 2: Convert to fraction form
    2,632.38/3,949.17 = 901/x
  3. Step 3: Cross multiply
    2,632.38x = 3,949.17 × 901
  4. Step 4: Simplify right side
    2,632.38x = 3,558,202.17
  5. Step 5: Solve for x
    x = 3,558,202.17/2,632.38
  6. Step 6: Final answer
    x = 1,351.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.