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Finding the Fourth Proportional to 3,110, 4,658.44 and 1,940.56

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Solution

The fourth proportional to 3,110, 4,658.44 and 1,940.56 is: 2,906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110 : 4,658.44 = 1,940.56 : x
  2. Step 2: Convert to fraction form
    3,110/4,658.44 = 1,940.56/x
  3. Step 3: Cross multiply
    3,110x = 4,658.44 × 1,940.56
  4. Step 4: Simplify right side
    3,110x = 9,039,982.33
  5. Step 5: Solve for x
    x = 9,039,982.33/3,110
  6. Step 6: Final answer
    x = 2,906.75

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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.