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Finding the Fourth Proportional to 2,850.38, 3,933.05 and 1,591.41

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Solution

The fourth proportional to 2,850.38, 3,933.05 and 1,591.41 is: 2,195.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.38 : 3,933.05 = 1,591.41 : x
  2. Step 2: Convert to fraction form
    2,850.38/3,933.05 = 1,591.41/x
  3. Step 3: Cross multiply
    2,850.38x = 3,933.05 × 1,591.41
  4. Step 4: Simplify right side
    2,850.38x = 6,259,087.14
  5. Step 5: Solve for x
    x = 6,259,087.14/2,850.38
  6. Step 6: Final answer
    x = 2,195.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.