Home / 2,131.20-3,196.81-814.59

Finding the Fourth Proportional to 2,131.20, 3,196.81 and 814.59

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Solution

The fourth proportional to 2,131.20, 3,196.81 and 814.59 is: 1,221.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.20 : 3,196.81 = 814.59 : x
  2. Step 2: Convert to fraction form
    2,131.20/3,196.81 = 814.59/x
  3. Step 3: Cross multiply
    2,131.20x = 3,196.81 × 814.59
  4. Step 4: Simplify right side
    2,131.20x = 2,604,102.46
  5. Step 5: Solve for x
    x = 2,604,102.46/2,131.20
  6. Step 6: Final answer
    x = 1,221.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.