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Finding the Fourth Proportional to 2,768.87, 4,153.36 and 794.53

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Solution

The fourth proportional to 2,768.87, 4,153.36 and 794.53 is: 1,191.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.87 : 4,153.36 = 794.53 : x
  2. Step 2: Convert to fraction form
    2,768.87/4,153.36 = 794.53/x
  3. Step 3: Cross multiply
    2,768.87x = 4,153.36 × 794.53
  4. Step 4: Simplify right side
    2,768.87x = 3,299,969.12
  5. Step 5: Solve for x
    x = 3,299,969.12/2,768.87
  6. Step 6: Final answer
    x = 1,191.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.