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Finding the Fourth Proportional to 2,131.50, 3,194.46 and 961.44

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Solution

The fourth proportional to 2,131.50, 3,194.46 and 961.44 is: 1,440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.50 : 3,194.46 = 961.44 : x
  2. Step 2: Convert to fraction form
    2,131.50/3,194.46 = 961.44/x
  3. Step 3: Cross multiply
    2,131.50x = 3,194.46 × 961.44
  4. Step 4: Simplify right side
    2,131.50x = 3,071,281.62
  5. Step 5: Solve for x
    x = 3,071,281.62/2,131.50
  6. Step 6: Final answer
    x = 1,440.90

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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.