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Finding the Fourth Proportional to 1,861.97, 2,793.38 and 822.26

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Solution

The fourth proportional to 1,861.97, 2,793.38 and 822.26 is: 1,233.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.97 : 2,793.38 = 822.26 : x
  2. Step 2: Convert to fraction form
    1,861.97/2,793.38 = 822.26/x
  3. Step 3: Cross multiply
    1,861.97x = 2,793.38 × 822.26
  4. Step 4: Simplify right side
    1,861.97x = 2,296,884.64
  5. Step 5: Solve for x
    x = 2,296,884.64/1,861.97
  6. Step 6: Final answer
    x = 1,233.58

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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.