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Finding the Fourth Proportional to 2,311.37, 3,464.82 and 996.06

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Solution

The fourth proportional to 2,311.37, 3,464.82 and 996.06 is: 1,493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.37 : 3,464.82 = 996.06 : x
  2. Step 2: Convert to fraction form
    2,311.37/3,464.82 = 996.06/x
  3. Step 3: Cross multiply
    2,311.37x = 3,464.82 × 996.06
  4. Step 4: Simplify right side
    2,311.37x = 3,451,168.61
  5. Step 5: Solve for x
    x = 3,451,168.61/2,311.37
  6. Step 6: Final answer
    x = 1,493.13

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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.