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Finding the Fourth Proportional to 2,604.61, 3,906.24 and 960.94

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Solution

The fourth proportional to 2,604.61, 3,906.24 and 960.94 is: 1,441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.61 : 3,906.24 = 960.94 : x
  2. Step 2: Convert to fraction form
    2,604.61/3,906.24 = 960.94/x
  3. Step 3: Cross multiply
    2,604.61x = 3,906.24 × 960.94
  4. Step 4: Simplify right side
    2,604.61x = 3,753,662.27
  5. Step 5: Solve for x
    x = 3,753,662.27/2,604.61
  6. Step 6: Final answer
    x = 1,441.16

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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.