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Finding the Fourth Proportional to 1,796.56, 2,691.04 and 823.48

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Solution

The fourth proportional to 1,796.56, 2,691.04 and 823.48 is: 1,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.56 : 2,691.04 = 823.48 : x
  2. Step 2: Convert to fraction form
    1,796.56/2,691.04 = 823.48/x
  3. Step 3: Cross multiply
    1,796.56x = 2,691.04 × 823.48
  4. Step 4: Simplify right side
    1,796.56x = 2,216,017.62
  5. Step 5: Solve for x
    x = 2,216,017.62/1,796.56
  6. Step 6: Final answer
    x = 1,233.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.