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Finding the Fourth Proportional to 3,299.82, 4,949.85 and 1,449.99

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Solution

The fourth proportional to 3,299.82, 4,949.85 and 1,449.99 is: 2,175.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.82 : 4,949.85 = 1,449.99 : x
  2. Step 2: Convert to fraction form
    3,299.82/4,949.85 = 1,449.99/x
  3. Step 3: Cross multiply
    3,299.82x = 4,949.85 × 1,449.99
  4. Step 4: Simplify right side
    3,299.82x = 7,177,233.00
  5. Step 5: Solve for x
    x = 7,177,233.00/3,299.82
  6. Step 6: Final answer
    x = 2,175.04

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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.