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Finding the Fourth Proportional to 2,998.31, 4,496.91 and 806.52

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Solution

The fourth proportional to 2,998.31, 4,496.91 and 806.52 is: 1,209.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.31 : 4,496.91 = 806.52 : x
  2. Step 2: Convert to fraction form
    2,998.31/4,496.91 = 806.52/x
  3. Step 3: Cross multiply
    2,998.31x = 4,496.91 × 806.52
  4. Step 4: Simplify right side
    2,998.31x = 3,626,847.85
  5. Step 5: Solve for x
    x = 3,626,847.85/2,998.31
  6. Step 6: Final answer
    x = 1,209.63

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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.