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Finding the Fourth Proportional to 2,797.52, 4,195.23 and 822.62

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Solution

The fourth proportional to 2,797.52, 4,195.23 and 822.62 is: 1,233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.52 : 4,195.23 = 822.62 : x
  2. Step 2: Convert to fraction form
    2,797.52/4,195.23 = 822.62/x
  3. Step 3: Cross multiply
    2,797.52x = 4,195.23 × 822.62
  4. Step 4: Simplify right side
    2,797.52x = 3,451,059.13
  5. Step 5: Solve for x
    x = 3,451,059.13/2,797.52
  6. Step 6: Final answer
    x = 1,233.62

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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.