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Finding the Fourth Proportional to 2,634.28, 3,952.47 and 991.27

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Solution

The fourth proportional to 2,634.28, 3,952.47 and 991.27 is: 1,487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.28 : 3,952.47 = 991.27 : x
  2. Step 2: Convert to fraction form
    2,634.28/3,952.47 = 991.27/x
  3. Step 3: Cross multiply
    2,634.28x = 3,952.47 × 991.27
  4. Step 4: Simplify right side
    2,634.28x = 3,917,964.94
  5. Step 5: Solve for x
    x = 3,917,964.94/2,634.28
  6. Step 6: Final answer
    x = 1,487.30

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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.