Home / 2,149.16-3,223.73-688.28

Finding the Fourth Proportional to 2,149.16, 3,223.73 and 688.28

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Solution

The fourth proportional to 2,149.16, 3,223.73 and 688.28 is: 1,032.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.16 : 3,223.73 = 688.28 : x
  2. Step 2: Convert to fraction form
    2,149.16/3,223.73 = 688.28/x
  3. Step 3: Cross multiply
    2,149.16x = 3,223.73 × 688.28
  4. Step 4: Simplify right side
    2,149.16x = 2,218,828.88
  5. Step 5: Solve for x
    x = 2,218,828.88/2,149.16
  6. Step 6: Final answer
    x = 1,032.42

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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.