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Finding the Fourth Proportional to 2,665.21, 3,998.25 and 815.89

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Solution

The fourth proportional to 2,665.21, 3,998.25 and 815.89 is: 1,223.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.21 : 3,998.25 = 815.89 : x
  2. Step 2: Convert to fraction form
    2,665.21/3,998.25 = 815.89/x
  3. Step 3: Cross multiply
    2,665.21x = 3,998.25 × 815.89
  4. Step 4: Simplify right side
    2,665.21x = 3,262,132.19
  5. Step 5: Solve for x
    x = 3,262,132.19/2,665.21
  6. Step 6: Final answer
    x = 1,223.97

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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.