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Finding the Fourth Proportional to 3,201.05, 4,800.17 and 1,618.80

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Solution

The fourth proportional to 3,201.05, 4,800.17 and 1,618.80 is: 2,427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.05 : 4,800.17 = 1,618.80 : x
  2. Step 2: Convert to fraction form
    3,201.05/4,800.17 = 1,618.80/x
  3. Step 3: Cross multiply
    3,201.05x = 4,800.17 × 1,618.80
  4. Step 4: Simplify right side
    3,201.05x = 7,770,515.20
  5. Step 5: Solve for x
    x = 7,770,515.20/3,201.05
  6. Step 6: Final answer
    x = 2,427.49

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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.