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Finding the Fourth Proportional to 2,906.54, 4,014.30 and 1,960.69

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Solution

The fourth proportional to 2,906.54, 4,014.30 and 1,960.69 is: 2,707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.54 : 4,014.30 = 1,960.69 : x
  2. Step 2: Convert to fraction form
    2,906.54/4,014.30 = 1,960.69/x
  3. Step 3: Cross multiply
    2,906.54x = 4,014.30 × 1,960.69
  4. Step 4: Simplify right side
    2,906.54x = 7,870,777.80
  5. Step 5: Solve for x
    x = 7,870,777.80/2,906.54
  6. Step 6: Final answer
    x = 2,707.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.