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Finding the Fourth Proportional to 2,908.38, 4,007.10 and 1,911.90

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Solution

The fourth proportional to 2,908.38, 4,007.10 and 1,911.90 is: 2,634.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.38 : 4,007.10 = 1,911.90 : x
  2. Step 2: Convert to fraction form
    2,908.38/4,007.10 = 1,911.90/x
  3. Step 3: Cross multiply
    2,908.38x = 4,007.10 × 1,911.90
  4. Step 4: Simplify right side
    2,908.38x = 7,661,174.49
  5. Step 5: Solve for x
    x = 7,661,174.49/2,908.38
  6. Step 6: Final answer
    x = 2,634.17

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Why These Related Problems?

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