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Finding the Fourth Proportional to 3,198.25, 4,412.41 and 1,938.39

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Solution

The fourth proportional to 3,198.25, 4,412.41 and 1,938.39 is: 2,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.25 : 4,412.41 = 1,938.39 : x
  2. Step 2: Convert to fraction form
    3,198.25/4,412.41 = 1,938.39/x
  3. Step 3: Cross multiply
    3,198.25x = 4,412.41 × 1,938.39
  4. Step 4: Simplify right side
    3,198.25x = 8,552,980.03
  5. Step 5: Solve for x
    x = 8,552,980.03/3,198.25
  6. Step 6: Final answer
    x = 2,674.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.