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Finding the Fourth Proportional to 2,092.06, 3,136.23 and 794.44

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Solution

The fourth proportional to 2,092.06, 3,136.23 and 794.44 is: 1,190.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.06 : 3,136.23 = 794.44 : x
  2. Step 2: Convert to fraction form
    2,092.06/3,136.23 = 794.44/x
  3. Step 3: Cross multiply
    2,092.06x = 3,136.23 × 794.44
  4. Step 4: Simplify right side
    2,092.06x = 2,491,544.58
  5. Step 5: Solve for x
    x = 2,491,544.58/2,092.06
  6. Step 6: Final answer
    x = 1,190.95

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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.