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Finding the Fourth Proportional to 2,310.87, 3,467.31 and 850.44

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Solution

The fourth proportional to 2,310.87, 3,467.31 and 850.44 is: 1,276.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.87 : 3,467.31 = 850.44 : x
  2. Step 2: Convert to fraction form
    2,310.87/3,467.31 = 850.44/x
  3. Step 3: Cross multiply
    2,310.87x = 3,467.31 × 850.44
  4. Step 4: Simplify right side
    2,310.87x = 2,948,739.12
  5. Step 5: Solve for x
    x = 2,948,739.12/2,310.87
  6. Step 6: Final answer
    x = 1,276.03

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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.