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Finding the Fourth Proportional to 2,571.62, 3,857.80 and 839.84

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Solution

The fourth proportional to 2,571.62, 3,857.80 and 839.84 is: 1,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.62 : 3,857.80 = 839.84 : x
  2. Step 2: Convert to fraction form
    2,571.62/3,857.80 = 839.84/x
  3. Step 3: Cross multiply
    2,571.62x = 3,857.80 × 839.84
  4. Step 4: Simplify right side
    2,571.62x = 3,239,934.75
  5. Step 5: Solve for x
    x = 3,239,934.75/2,571.62
  6. Step 6: Final answer
    x = 1,259.88

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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.