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Finding the Fourth Proportional to 2,661.89, 3,992.82 and 812.99

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Solution

The fourth proportional to 2,661.89, 3,992.82 and 812.99 is: 1,219.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.89 : 3,992.82 = 812.99 : x
  2. Step 2: Convert to fraction form
    2,661.89/3,992.82 = 812.99/x
  3. Step 3: Cross multiply
    2,661.89x = 3,992.82 × 812.99
  4. Step 4: Simplify right side
    2,661.89x = 3,246,122.73
  5. Step 5: Solve for x
    x = 3,246,122.73/2,661.89
  6. Step 6: Final answer
    x = 1,219.48

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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.