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Finding the Fourth Proportional to 3,468.67, 4,789.05 and 2,144.32

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Solution

The fourth proportional to 3,468.67, 4,789.05 and 2,144.32 is: 2,960.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.67 : 4,789.05 = 2,144.32 : x
  2. Step 2: Convert to fraction form
    3,468.67/4,789.05 = 2,144.32/x
  3. Step 3: Cross multiply
    3,468.67x = 4,789.05 × 2,144.32
  4. Step 4: Simplify right side
    3,468.67x = 10,269,255.70
  5. Step 5: Solve for x
    x = 10,269,255.70/3,468.67
  6. Step 6: Final answer
    x = 2,960.57

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