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Finding the Fourth Proportional to 3,255.87, 4,872.70 and 2,069.31

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Solution

The fourth proportional to 3,255.87, 4,872.70 and 2,069.31 is: 3,096.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.87 : 4,872.70 = 2,069.31 : x
  2. Step 2: Convert to fraction form
    3,255.87/4,872.70 = 2,069.31/x
  3. Step 3: Cross multiply
    3,255.87x = 4,872.70 × 2,069.31
  4. Step 4: Simplify right side
    3,255.87x = 10,083,116.49
  5. Step 5: Solve for x
    x = 10,083,116.49/3,255.87
  6. Step 6: Final answer
    x = 3,096.90

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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.