Home / 2,101.26-3,149.12-867.99

Finding the Fourth Proportional to 2,101.26, 3,149.12 and 867.99

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Solution

The fourth proportional to 2,101.26, 3,149.12 and 867.99 is: 1,300.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.26 : 3,149.12 = 867.99 : x
  2. Step 2: Convert to fraction form
    2,101.26/3,149.12 = 867.99/x
  3. Step 3: Cross multiply
    2,101.26x = 3,149.12 × 867.99
  4. Step 4: Simplify right side
    2,101.26x = 2,733,400.33
  5. Step 5: Solve for x
    x = 2,733,400.33/2,101.26
  6. Step 6: Final answer
    x = 1,300.84

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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.