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Finding the Fourth Proportional to 3,234.97, 4,844.49 and 1,844.88

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Solution

The fourth proportional to 3,234.97, 4,844.49 and 1,844.88 is: 2,762.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.97 : 4,844.49 = 1,844.88 : x
  2. Step 2: Convert to fraction form
    3,234.97/4,844.49 = 1,844.88/x
  3. Step 3: Cross multiply
    3,234.97x = 4,844.49 × 1,844.88
  4. Step 4: Simplify right side
    3,234.97x = 8,937,469.26
  5. Step 5: Solve for x
    x = 8,937,469.26/3,234.97
  6. Step 6: Final answer
    x = 2,762.77

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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.