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Finding the Fourth Proportional to 2,027.92, 3,041.88 and 872.96

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Solution

The fourth proportional to 2,027.92, 3,041.88 and 872.96 is: 1,309.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.92 : 3,041.88 = 872.96 : x
  2. Step 2: Convert to fraction form
    2,027.92/3,041.88 = 872.96/x
  3. Step 3: Cross multiply
    2,027.92x = 3,041.88 × 872.96
  4. Step 4: Simplify right side
    2,027.92x = 2,655,439.56
  5. Step 5: Solve for x
    x = 2,655,439.56/2,027.92
  6. Step 6: Final answer
    x = 1,309.44

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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.