Home / 2,206.16-3,310.58-819.28

Finding the Fourth Proportional to 2,206.16, 3,310.58 and 819.28

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Solution

The fourth proportional to 2,206.16, 3,310.58 and 819.28 is: 1,229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.16 : 3,310.58 = 819.28 : x
  2. Step 2: Convert to fraction form
    2,206.16/3,310.58 = 819.28/x
  3. Step 3: Cross multiply
    2,206.16x = 3,310.58 × 819.28
  4. Step 4: Simplify right side
    2,206.16x = 2,712,291.98
  5. Step 5: Solve for x
    x = 2,712,291.98/2,206.16
  6. Step 6: Final answer
    x = 1,229.42

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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.