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Finding the Fourth Proportional to 2,770.41, 4,155.59 and 796.09

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Solution

The fourth proportional to 2,770.41, 4,155.59 and 796.09 is: 1,194.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.41 : 4,155.59 = 796.09 : x
  2. Step 2: Convert to fraction form
    2,770.41/4,155.59 = 796.09/x
  3. Step 3: Cross multiply
    2,770.41x = 4,155.59 × 796.09
  4. Step 4: Simplify right side
    2,770.41x = 3,308,209.27
  5. Step 5: Solve for x
    x = 3,308,209.27/2,770.41
  6. Step 6: Final answer
    x = 1,194.12

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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.