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Finding the Fourth Proportional to 2,422.41, 3,633.07 and 961.17

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Solution

The fourth proportional to 2,422.41, 3,633.07 and 961.17 is: 1,441.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.41 : 3,633.07 = 961.17 : x
  2. Step 2: Convert to fraction form
    2,422.41/3,633.07 = 961.17/x
  3. Step 3: Cross multiply
    2,422.41x = 3,633.07 × 961.17
  4. Step 4: Simplify right side
    2,422.41x = 3,491,997.89
  5. Step 5: Solve for x
    x = 3,491,997.89/2,422.41
  6. Step 6: Final answer
    x = 1,441.54

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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.