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Finding the Fourth Proportional to 2,422.82, 3,634.64 and 961.99

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Solution

The fourth proportional to 2,422.82, 3,634.64 and 961.99 is: 1,443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.82 : 3,634.64 = 961.99 : x
  2. Step 2: Convert to fraction form
    2,422.82/3,634.64 = 961.99/x
  3. Step 3: Cross multiply
    2,422.82x = 3,634.64 × 961.99
  4. Step 4: Simplify right side
    2,422.82x = 3,496,477.04
  5. Step 5: Solve for x
    x = 3,496,477.04/2,422.82
  6. Step 6: Final answer
    x = 1,443.14

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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.