Home / 2,131.20-3,194.67-743.46

Finding the Fourth Proportional to 2,131.20, 3,194.67 and 743.46

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Solution

The fourth proportional to 2,131.20, 3,194.67 and 743.46 is: 1,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.20 : 3,194.67 = 743.46 : x
  2. Step 2: Convert to fraction form
    2,131.20/3,194.67 = 743.46/x
  3. Step 3: Cross multiply
    2,131.20x = 3,194.67 × 743.46
  4. Step 4: Simplify right side
    2,131.20x = 2,375,109.36
  5. Step 5: Solve for x
    x = 2,375,109.36/2,131.20
  6. Step 6: Final answer
    x = 1,114.45

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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.