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Finding the Fourth Proportional to 3,974.50, 5,961.48 and 1,633.90

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Solution

The fourth proportional to 3,974.50, 5,961.48 and 1,633.90 is: 2,450.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.50 : 5,961.48 = 1,633.90 : x
  2. Step 2: Convert to fraction form
    3,974.50/5,961.48 = 1,633.90/x
  3. Step 3: Cross multiply
    3,974.50x = 5,961.48 × 1,633.90
  4. Step 4: Simplify right side
    3,974.50x = 9,740,462.17
  5. Step 5: Solve for x
    x = 9,740,462.17/3,974.50
  6. Step 6: Final answer
    x = 2,450.74

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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.