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Finding the Fourth Proportional to 3,282.88, 4,922.16 and 1,334.56

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Solution

The fourth proportional to 3,282.88, 4,922.16 and 1,334.56 is: 2,000.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.88 : 4,922.16 = 1,334.56 : x
  2. Step 2: Convert to fraction form
    3,282.88/4,922.16 = 1,334.56/x
  3. Step 3: Cross multiply
    3,282.88x = 4,922.16 × 1,334.56
  4. Step 4: Simplify right side
    3,282.88x = 6,568,917.85
  5. Step 5: Solve for x
    x = 6,568,917.85/3,282.88
  6. Step 6: Final answer
    x = 2,000.96

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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.