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Finding the Fourth Proportional to 1,796.40, 2,694.12 and 822.78

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Solution

The fourth proportional to 1,796.40, 2,694.12 and 822.78 is: 1,233.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.40 : 2,694.12 = 822.78 : x
  2. Step 2: Convert to fraction form
    1,796.40/2,694.12 = 822.78/x
  3. Step 3: Cross multiply
    1,796.40x = 2,694.12 × 822.78
  4. Step 4: Simplify right side
    1,796.40x = 2,216,668.05
  5. Step 5: Solve for x
    x = 2,216,668.05/1,796.40
  6. Step 6: Final answer
    x = 1,233.95

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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.