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Finding the Fourth Proportional to 2,664.82, 3,997.22 and 815.95

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Solution

The fourth proportional to 2,664.82, 3,997.22 and 815.95 is: 1,223.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.82 : 3,997.22 = 815.95 : x
  2. Step 2: Convert to fraction form
    2,664.82/3,997.22 = 815.95/x
  3. Step 3: Cross multiply
    2,664.82x = 3,997.22 × 815.95
  4. Step 4: Simplify right side
    2,664.82x = 3,261,528.22
  5. Step 5: Solve for x
    x = 3,261,528.22/2,664.82
  6. Step 6: Final answer
    x = 1,223.92

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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.