Home / 2,135.64-3,202.71-819.75

Finding the Fourth Proportional to 2,135.64, 3,202.71 and 819.75

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Solution

The fourth proportional to 2,135.64, 3,202.71 and 819.75 is: 1,229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.64 : 3,202.71 = 819.75 : x
  2. Step 2: Convert to fraction form
    2,135.64/3,202.71 = 819.75/x
  3. Step 3: Cross multiply
    2,135.64x = 3,202.71 × 819.75
  4. Step 4: Simplify right side
    2,135.64x = 2,625,421.52
  5. Step 5: Solve for x
    x = 2,625,421.52/2,135.64
  6. Step 6: Final answer
    x = 1,229.34

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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.