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Finding the Fourth Proportional to 2,664.08, 3,996.14 and 815.23

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Solution

The fourth proportional to 2,664.08, 3,996.14 and 815.23 is: 1,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.08 : 3,996.14 = 815.23 : x
  2. Step 2: Convert to fraction form
    2,664.08/3,996.14 = 815.23/x
  3. Step 3: Cross multiply
    2,664.08x = 3,996.14 × 815.23
  4. Step 4: Simplify right side
    2,664.08x = 3,257,773.21
  5. Step 5: Solve for x
    x = 3,257,773.21/2,664.08
  6. Step 6: Final answer
    x = 1,222.85

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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.