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Finding the Fourth Proportional to 2,608.25, 3,912.33 and 633.90

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Solution

The fourth proportional to 2,608.25, 3,912.33 and 633.90 is: 950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.25 : 3,912.33 = 633.90 : x
  2. Step 2: Convert to fraction form
    2,608.25/3,912.33 = 633.90/x
  3. Step 3: Cross multiply
    2,608.25x = 3,912.33 × 633.90
  4. Step 4: Simplify right side
    2,608.25x = 2,480,025.99
  5. Step 5: Solve for x
    x = 2,480,025.99/2,608.25
  6. Step 6: Final answer
    x = 950.84

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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.