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Finding the Fourth Proportional to 3,199.77, 4,800.33 and 1,349.73

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Solution

The fourth proportional to 3,199.77, 4,800.33 and 1,349.73 is: 2,024.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.77 : 4,800.33 = 1,349.73 : x
  2. Step 2: Convert to fraction form
    3,199.77/4,800.33 = 1,349.73/x
  3. Step 3: Cross multiply
    3,199.77x = 4,800.33 × 1,349.73
  4. Step 4: Simplify right side
    3,199.77x = 6,479,149.41
  5. Step 5: Solve for x
    x = 6,479,149.41/3,199.77
  6. Step 6: Final answer
    x = 2,024.88

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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.