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Finding the Fourth Proportional to 3,311.97, 4,967.96 and 1,364.19

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Solution

The fourth proportional to 3,311.97, 4,967.96 and 1,364.19 is: 2,046.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.97 : 4,967.96 = 1,364.19 : x
  2. Step 2: Convert to fraction form
    3,311.97/4,967.96 = 1,364.19/x
  3. Step 3: Cross multiply
    3,311.97x = 4,967.96 × 1,364.19
  4. Step 4: Simplify right side
    3,311.97x = 6,777,234.53
  5. Step 5: Solve for x
    x = 6,777,234.53/3,311.97
  6. Step 6: Final answer
    x = 2,046.29

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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.