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Finding the Fourth Proportional to 2,513.15, 3,769.31 and 664.38

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Solution

The fourth proportional to 2,513.15, 3,769.31 and 664.38 is: 996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.15 : 3,769.31 = 664.38 : x
  2. Step 2: Convert to fraction form
    2,513.15/3,769.31 = 664.38/x
  3. Step 3: Cross multiply
    2,513.15x = 3,769.31 × 664.38
  4. Step 4: Simplify right side
    2,513.15x = 2,504,243.37
  5. Step 5: Solve for x
    x = 2,504,243.37/2,513.15
  6. Step 6: Final answer
    x = 996.46

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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.