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Finding the Fourth Proportional to 2,768.17, 4,151.41 and 793.67

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Solution

The fourth proportional to 2,768.17, 4,151.41 and 793.67 is: 1,190.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.17 : 4,151.41 = 793.67 : x
  2. Step 2: Convert to fraction form
    2,768.17/4,151.41 = 793.67/x
  3. Step 3: Cross multiply
    2,768.17x = 4,151.41 × 793.67
  4. Step 4: Simplify right side
    2,768.17x = 3,294,849.57
  5. Step 5: Solve for x
    x = 3,294,849.57/2,768.17
  6. Step 6: Final answer
    x = 1,190.26

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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.