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Finding the Fourth Proportional to 3,100.46, 4,650.75 and 791.96

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Solution

The fourth proportional to 3,100.46, 4,650.75 and 791.96 is: 1,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.46 : 4,650.75 = 791.96 : x
  2. Step 2: Convert to fraction form
    3,100.46/4,650.75 = 791.96/x
  3. Step 3: Cross multiply
    3,100.46x = 4,650.75 × 791.96
  4. Step 4: Simplify right side
    3,100.46x = 3,683,184.72
  5. Step 5: Solve for x
    x = 3,683,184.72/3,100.46
  6. Step 6: Final answer
    x = 1,187.95

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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.