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Finding the Fourth Proportional to 2,664.90, 3,997.56 and 816.18

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Solution

The fourth proportional to 2,664.90, 3,997.56 and 816.18 is: 1,224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.90 : 3,997.56 = 816.18 : x
  2. Step 2: Convert to fraction form
    2,664.90/3,997.56 = 816.18/x
  3. Step 3: Cross multiply
    2,664.90x = 3,997.56 × 816.18
  4. Step 4: Simplify right side
    2,664.90x = 3,262,728.52
  5. Step 5: Solve for x
    x = 3,262,728.52/2,664.90
  6. Step 6: Final answer
    x = 1,224.33

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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.