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Finding the Fourth Proportional to 1,622.73, 2,432.27 and 799.26

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Solution

The fourth proportional to 1,622.73, 2,432.27 and 799.26 is: 1,197.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.73 : 2,432.27 = 799.26 : x
  2. Step 2: Convert to fraction form
    1,622.73/2,432.27 = 799.26/x
  3. Step 3: Cross multiply
    1,622.73x = 2,432.27 × 799.26
  4. Step 4: Simplify right side
    1,622.73x = 1,944,016.12
  5. Step 5: Solve for x
    x = 1,944,016.12/1,622.73
  6. Step 6: Final answer
    x = 1,197.99

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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.