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Finding the Fourth Proportional to 3,196.62, 4,797.81 and 1,250.19

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Solution

The fourth proportional to 3,196.62, 4,797.81 and 1,250.19 is: 1,876.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.62 : 4,797.81 = 1,250.19 : x
  2. Step 2: Convert to fraction form
    3,196.62/4,797.81 = 1,250.19/x
  3. Step 3: Cross multiply
    3,196.62x = 4,797.81 × 1,250.19
  4. Step 4: Simplify right side
    3,196.62x = 5,998,174.08
  5. Step 5: Solve for x
    x = 5,998,174.08/3,196.62
  6. Step 6: Final answer
    x = 1,876.41

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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.