Home / 2,096.12-3,142.29-796.66

Finding the Fourth Proportional to 2,096.12, 3,142.29 and 796.66

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Solution

The fourth proportional to 2,096.12, 3,142.29 and 796.66 is: 1,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.12 : 3,142.29 = 796.66 : x
  2. Step 2: Convert to fraction form
    2,096.12/3,142.29 = 796.66/x
  3. Step 3: Cross multiply
    2,096.12x = 3,142.29 × 796.66
  4. Step 4: Simplify right side
    2,096.12x = 2,503,331.88
  5. Step 5: Solve for x
    x = 2,503,331.88/2,096.12
  6. Step 6: Final answer
    x = 1,194.27

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1.5x scale

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.