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Finding the Fourth Proportional to 2,839.62, 4,251.93 and 2,224.56

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Solution

The fourth proportional to 2,839.62, 4,251.93 and 2,224.56 is: 3,330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.62 : 4,251.93 = 2,224.56 : x
  2. Step 2: Convert to fraction form
    2,839.62/4,251.93 = 2,224.56/x
  3. Step 3: Cross multiply
    2,839.62x = 4,251.93 × 2,224.56
  4. Step 4: Simplify right side
    2,839.62x = 9,458,673.40
  5. Step 5: Solve for x
    x = 9,458,673.40/2,839.62
  6. Step 6: Final answer
    x = 3,330.96

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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.