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Finding the Fourth Proportional to 2,744.82, 4,115.07 and 1,964.25

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Solution

The fourth proportional to 2,744.82, 4,115.07 and 1,964.25 is: 2,944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.82 : 4,115.07 = 1,964.25 : x
  2. Step 2: Convert to fraction form
    2,744.82/4,115.07 = 1,964.25/x
  3. Step 3: Cross multiply
    2,744.82x = 4,115.07 × 1,964.25
  4. Step 4: Simplify right side
    2,744.82x = 8,083,026.25
  5. Step 5: Solve for x
    x = 8,083,026.25/2,744.82
  6. Step 6: Final answer
    x = 2,944.83

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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.