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Finding the Fourth Proportional to 3,100.44, 4,650.75 and 791.94

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Solution

The fourth proportional to 3,100.44, 4,650.75 and 791.94 is: 1,187.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.44 : 4,650.75 = 791.94 : x
  2. Step 2: Convert to fraction form
    3,100.44/4,650.75 = 791.94/x
  3. Step 3: Cross multiply
    3,100.44x = 4,650.75 × 791.94
  4. Step 4: Simplify right side
    3,100.44x = 3,683,114.96
  5. Step 5: Solve for x
    x = 3,683,114.96/3,100.44
  6. Step 6: Final answer
    x = 1,187.93

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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.