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Finding the Fourth Proportional to 2,664.24, 3,996.24 and 815.28

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Solution

The fourth proportional to 2,664.24, 3,996.24 and 815.28 is: 1,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.24 : 3,996.24 = 815.28 : x
  2. Step 2: Convert to fraction form
    2,664.24/3,996.24 = 815.28/x
  3. Step 3: Cross multiply
    2,664.24x = 3,996.24 × 815.28
  4. Step 4: Simplify right side
    2,664.24x = 3,258,054.55
  5. Step 5: Solve for x
    x = 3,258,054.55/2,664.24
  6. Step 6: Final answer
    x = 1,222.88

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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.