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Finding the Fourth Proportional to 3,165.39, 4,747.41 and 2,238.33

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Solution

The fourth proportional to 3,165.39, 4,747.41 and 2,238.33 is: 3,357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.39 : 4,747.41 = 2,238.33 : x
  2. Step 2: Convert to fraction form
    3,165.39/4,747.41 = 2,238.33/x
  3. Step 3: Cross multiply
    3,165.39x = 4,747.41 × 2,238.33
  4. Step 4: Simplify right side
    3,165.39x = 10,626,270.23
  5. Step 5: Solve for x
    x = 10,626,270.23/3,165.39
  6. Step 6: Final answer
    x = 3,357.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.