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Finding the Fourth Proportional to 2,664.17, 3,996.84 and 815.42

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Solution

The fourth proportional to 2,664.17, 3,996.84 and 815.42 is: 1,223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.17 : 3,996.84 = 815.42 : x
  2. Step 2: Convert to fraction form
    2,664.17/3,996.84 = 815.42/x
  3. Step 3: Cross multiply
    2,664.17x = 3,996.84 × 815.42
  4. Step 4: Simplify right side
    2,664.17x = 3,259,103.27
  5. Step 5: Solve for x
    x = 3,259,103.27/2,664.17
  6. Step 6: Final answer
    x = 1,223.31

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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.