Home / 2,422.12-3,633.80-961.28

Finding the Fourth Proportional to 2,422.12, 3,633.80 and 961.28

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Solution

The fourth proportional to 2,422.12, 3,633.80 and 961.28 is: 1,442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.12 : 3,633.80 = 961.28 : x
  2. Step 2: Convert to fraction form
    2,422.12/3,633.80 = 961.28/x
  3. Step 3: Cross multiply
    2,422.12x = 3,633.80 × 961.28
  4. Step 4: Simplify right side
    2,422.12x = 3,493,099.26
  5. Step 5: Solve for x
    x = 3,493,099.26/2,422.12
  6. Step 6: Final answer
    x = 1,442.17

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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.