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Finding the Fourth Proportional to 2,906.79, 4,007.46 and 1,911.69

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Solution

The fourth proportional to 2,906.79, 4,007.46 and 1,911.69 is: 2,635.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.79 : 4,007.46 = 1,911.69 : x
  2. Step 2: Convert to fraction form
    2,906.79/4,007.46 = 1,911.69/x
  3. Step 3: Cross multiply
    2,906.79x = 4,007.46 × 1,911.69
  4. Step 4: Simplify right side
    2,906.79x = 7,661,021.21
  5. Step 5: Solve for x
    x = 7,661,021.21/2,906.79
  6. Step 6: Final answer
    x = 2,635.56

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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.