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Finding the Fourth Proportional to 2,633.92, 3,952.58 and 2,422.75

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Solution

The fourth proportional to 2,633.92, 3,952.58 and 2,422.75 is: 3,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.92 : 3,952.58 = 2,422.75 : x
  2. Step 2: Convert to fraction form
    2,633.92/3,952.58 = 2,422.75/x
  3. Step 3: Cross multiply
    2,633.92x = 3,952.58 × 2,422.75
  4. Step 4: Simplify right side
    2,633.92x = 9,576,113.20
  5. Step 5: Solve for x
    x = 9,576,113.20/2,633.92
  6. Step 6: Final answer
    x = 3,635.69

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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.