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Finding the Fourth Proportional to 2,120.50, 3,181.26 and 659.56

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Solution

The fourth proportional to 2,120.50, 3,181.26 and 659.56 is: 989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.50 : 3,181.26 = 659.56 : x
  2. Step 2: Convert to fraction form
    2,120.50/3,181.26 = 659.56/x
  3. Step 3: Cross multiply
    2,120.50x = 3,181.26 × 659.56
  4. Step 4: Simplify right side
    2,120.50x = 2,098,231.85
  5. Step 5: Solve for x
    x = 2,098,231.85/2,120.50
  6. Step 6: Final answer
    x = 989.50

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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.