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Finding the Fourth Proportional to 3,261.93, 4,892.94 and 796.80

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Solution

The fourth proportional to 3,261.93, 4,892.94 and 796.80 is: 1,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.93 : 4,892.94 = 796.80 : x
  2. Step 2: Convert to fraction form
    3,261.93/4,892.94 = 796.80/x
  3. Step 3: Cross multiply
    3,261.93x = 4,892.94 × 796.80
  4. Step 4: Simplify right side
    3,261.93x = 3,898,694.59
  5. Step 5: Solve for x
    x = 3,898,694.59/3,261.93
  6. Step 6: Final answer
    x = 1,195.21

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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.