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Finding the Fourth Proportional to 2,571.24, 3,856.50 and 839.88

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Solution

The fourth proportional to 2,571.24, 3,856.50 and 839.88 is: 1,259.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.24 : 3,856.50 = 839.88 : x
  2. Step 2: Convert to fraction form
    2,571.24/3,856.50 = 839.88/x
  3. Step 3: Cross multiply
    2,571.24x = 3,856.50 × 839.88
  4. Step 4: Simplify right side
    2,571.24x = 3,238,997.22
  5. Step 5: Solve for x
    x = 3,238,997.22/2,571.24
  6. Step 6: Final answer
    x = 1,259.70

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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.