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Finding the Fourth Proportional to 2,664.92, 3,997.11 and 816.05

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Solution

The fourth proportional to 2,664.92, 3,997.11 and 816.05 is: 1,223.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.92 : 3,997.11 = 816.05 : x
  2. Step 2: Convert to fraction form
    2,664.92/3,997.11 = 816.05/x
  3. Step 3: Cross multiply
    2,664.92x = 3,997.11 × 816.05
  4. Step 4: Simplify right side
    2,664.92x = 3,261,841.62
  5. Step 5: Solve for x
    x = 3,261,841.62/2,664.92
  6. Step 6: Final answer
    x = 1,223.99

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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.