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Finding the Fourth Proportional to 2,839.87, 4,251.82 and 2,144.35

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Solution

The fourth proportional to 2,839.87, 4,251.82 and 2,144.35 is: 3,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.87 : 4,251.82 = 2,144.35 : x
  2. Step 2: Convert to fraction form
    2,839.87/4,251.82 = 2,144.35/x
  3. Step 3: Cross multiply
    2,839.87x = 4,251.82 × 2,144.35
  4. Step 4: Simplify right side
    2,839.87x = 9,117,390.22
  5. Step 5: Solve for x
    x = 9,117,390.22/2,839.87
  6. Step 6: Final answer
    x = 3,210.50

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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.