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Finding the Fourth Proportional to 3,234.44, 4,851.69 and 2,081

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Solution

The fourth proportional to 3,234.44, 4,851.69 and 2,081 is: 3,121.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.44 : 4,851.69 = 2,081 : x
  2. Step 2: Convert to fraction form
    3,234.44/4,851.69 = 2,081/x
  3. Step 3: Cross multiply
    3,234.44x = 4,851.69 × 2,081
  4. Step 4: Simplify right side
    3,234.44x = 10,096,366.89
  5. Step 5: Solve for x
    x = 10,096,366.89/3,234.44
  6. Step 6: Final answer
    x = 3,121.52

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Why These Related Problems?

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