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Finding the Fourth Proportional to 2,944.14, 4,415.94 and 996.12

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Solution

The fourth proportional to 2,944.14, 4,415.94 and 996.12 is: 1,494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.14 : 4,415.94 = 996.12 : x
  2. Step 2: Convert to fraction form
    2,944.14/4,415.94 = 996.12/x
  3. Step 3: Cross multiply
    2,944.14x = 4,415.94 × 996.12
  4. Step 4: Simplify right side
    2,944.14x = 4,398,806.15
  5. Step 5: Solve for x
    x = 4,398,806.15/2,944.14
  6. Step 6: Final answer
    x = 1,494.09

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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.