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Finding the Fourth Proportional to 2,665.22, 3,997.78 and 816.32

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Solution

The fourth proportional to 2,665.22, 3,997.78 and 816.32 is: 1,224.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.22 : 3,997.78 = 816.32 : x
  2. Step 2: Convert to fraction form
    2,665.22/3,997.78 = 816.32/x
  3. Step 3: Cross multiply
    2,665.22x = 3,997.78 × 816.32
  4. Step 4: Simplify right side
    2,665.22x = 3,263,475.72
  5. Step 5: Solve for x
    x = 3,263,475.72/2,665.22
  6. Step 6: Final answer
    x = 1,224.47

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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.