Home / 2,098.28-3,144.59-799.04

Finding the Fourth Proportional to 2,098.28, 3,144.59 and 799.04

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Solution

The fourth proportional to 2,098.28, 3,144.59 and 799.04 is: 1,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.28 : 3,144.59 = 799.04 : x
  2. Step 2: Convert to fraction form
    2,098.28/3,144.59 = 799.04/x
  3. Step 3: Cross multiply
    2,098.28x = 3,144.59 × 799.04
  4. Step 4: Simplify right side
    2,098.28x = 2,512,661.06
  5. Step 5: Solve for x
    x = 2,512,661.06/2,098.28
  6. Step 6: Final answer
    x = 1,197.48

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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.