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Finding the Fourth Proportional to 1,796.22, 2,691.63 and 822.06

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Solution

The fourth proportional to 1,796.22, 2,691.63 and 822.06 is: 1,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.22 : 2,691.63 = 822.06 : x
  2. Step 2: Convert to fraction form
    1,796.22/2,691.63 = 822.06/x
  3. Step 3: Cross multiply
    1,796.22x = 2,691.63 × 822.06
  4. Step 4: Simplify right side
    1,796.22x = 2,212,681.36
  5. Step 5: Solve for x
    x = 2,212,681.36/1,796.22
  6. Step 6: Final answer
    x = 1,231.85

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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.