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Finding the Fourth Proportional to 2,481.78, 3,722.67 and 942.78

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Solution

The fourth proportional to 2,481.78, 3,722.67 and 942.78 is: 1,414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.78 : 3,722.67 = 942.78 : x
  2. Step 2: Convert to fraction form
    2,481.78/3,722.67 = 942.78/x
  3. Step 3: Cross multiply
    2,481.78x = 3,722.67 × 942.78
  4. Step 4: Simplify right side
    2,481.78x = 3,509,658.82
  5. Step 5: Solve for x
    x = 3,509,658.82/2,481.78
  6. Step 6: Final answer
    x = 1,414.17

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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.