Home / 2,149.26-3,224.09-688.07

Finding the Fourth Proportional to 2,149.26, 3,224.09 and 688.07

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Solution

The fourth proportional to 2,149.26, 3,224.09 and 688.07 is: 1,032.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.26 : 3,224.09 = 688.07 : x
  2. Step 2: Convert to fraction form
    2,149.26/3,224.09 = 688.07/x
  3. Step 3: Cross multiply
    2,149.26x = 3,224.09 × 688.07
  4. Step 4: Simplify right side
    2,149.26x = 2,218,385.21
  5. Step 5: Solve for x
    x = 2,218,385.21/2,149.26
  6. Step 6: Final answer
    x = 1,032.16

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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.