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Finding the Fourth Proportional to 3,100.40, 4,650.84 and 791.88

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Solution

The fourth proportional to 3,100.40, 4,650.84 and 791.88 is: 1,187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.40 : 4,650.84 = 791.88 : x
  2. Step 2: Convert to fraction form
    3,100.40/4,650.84 = 791.88/x
  3. Step 3: Cross multiply
    3,100.40x = 4,650.84 × 791.88
  4. Step 4: Simplify right side
    3,100.40x = 3,682,907.18
  5. Step 5: Solve for x
    x = 3,682,907.18/3,100.40
  6. Step 6: Final answer
    x = 1,187.88

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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.