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Finding the Fourth Proportional to 2,665.41, 3,997.10 and 815.96

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Solution

The fourth proportional to 2,665.41, 3,997.10 and 815.96 is: 1,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.41 : 3,997.10 = 815.96 : x
  2. Step 2: Convert to fraction form
    2,665.41/3,997.10 = 815.96/x
  3. Step 3: Cross multiply
    2,665.41x = 3,997.10 × 815.96
  4. Step 4: Simplify right side
    2,665.41x = 3,261,449.65
  5. Step 5: Solve for x
    x = 3,261,449.65/2,665.41
  6. Step 6: Final answer
    x = 1,223.62

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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.