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Finding the Fourth Proportional to 2,571.26, 3,856.14 and 1,011.20

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Solution

The fourth proportional to 2,571.26, 3,856.14 and 1,011.20 is: 1,516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.26 : 3,856.14 = 1,011.20 : x
  2. Step 2: Convert to fraction form
    2,571.26/3,856.14 = 1,011.20/x
  3. Step 3: Cross multiply
    2,571.26x = 3,856.14 × 1,011.20
  4. Step 4: Simplify right side
    2,571.26x = 3,899,309.49
  5. Step 5: Solve for x
    x = 3,899,309.49/2,571.26
  6. Step 6: Final answer
    x = 1,516.50

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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.