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Finding the Fourth Proportional to 3,167.35, 4,747.17 and 2,243.17

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Solution

The fourth proportional to 3,167.35, 4,747.17 and 2,243.17 is: 3,362.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.35 : 4,747.17 = 2,243.17 : x
  2. Step 2: Convert to fraction form
    3,167.35/4,747.17 = 2,243.17/x
  3. Step 3: Cross multiply
    3,167.35x = 4,747.17 × 2,243.17
  4. Step 4: Simplify right side
    3,167.35x = 10,648,709.33
  5. Step 5: Solve for x
    x = 10,648,709.33/3,167.35
  6. Step 6: Final answer
    x = 3,362.02

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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.