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Finding the Fourth Proportional to 2,636.82, 3,954.84 and 1,447.96

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Solution

The fourth proportional to 2,636.82, 3,954.84 and 1,447.96 is: 2,171.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.82 : 3,954.84 = 1,447.96 : x
  2. Step 2: Convert to fraction form
    2,636.82/3,954.84 = 1,447.96/x
  3. Step 3: Cross multiply
    2,636.82x = 3,954.84 × 1,447.96
  4. Step 4: Simplify right side
    2,636.82x = 5,726,450.13
  5. Step 5: Solve for x
    x = 5,726,450.13/2,636.82
  6. Step 6: Final answer
    x = 2,171.73

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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.