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Finding the Fourth Proportional to 2,634.24, 3,952.20 and 2,227.20

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Solution

The fourth proportional to 2,634.24, 3,952.20 and 2,227.20 is: 3,341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.24 : 3,952.20 = 2,227.20 : x
  2. Step 2: Convert to fraction form
    2,634.24/3,952.20 = 2,227.20/x
  3. Step 3: Cross multiply
    2,634.24x = 3,952.20 × 2,227.20
  4. Step 4: Simplify right side
    2,634.24x = 8,802,339.84
  5. Step 5: Solve for x
    x = 8,802,339.84/2,634.24
  6. Step 6: Final answer
    x = 3,341.51

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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.