Home / 2,134.14-3,201.23-834.71

Finding the Fourth Proportional to 2,134.14, 3,201.23 and 834.71

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Solution

The fourth proportional to 2,134.14, 3,201.23 and 834.71 is: 1,252.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.14 : 3,201.23 = 834.71 : x
  2. Step 2: Convert to fraction form
    2,134.14/3,201.23 = 834.71/x
  3. Step 3: Cross multiply
    2,134.14x = 3,201.23 × 834.71
  4. Step 4: Simplify right side
    2,134.14x = 2,672,078.51
  5. Step 5: Solve for x
    x = 2,672,078.51/2,134.14
  6. Step 6: Final answer
    x = 1,252.06

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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.