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Finding the Fourth Proportional to 2,662.97, 3,995.00 and 932.81

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Solution

The fourth proportional to 2,662.97, 3,995.00 and 932.81 is: 1,399.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.97 : 3,995.00 = 932.81 : x
  2. Step 2: Convert to fraction form
    2,662.97/3,995.00 = 932.81/x
  3. Step 3: Cross multiply
    2,662.97x = 3,995.00 × 932.81
  4. Step 4: Simplify right side
    2,662.97x = 3,726,571.29
  5. Step 5: Solve for x
    x = 3,726,571.29/2,662.97
  6. Step 6: Final answer
    x = 1,399.40

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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.