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Finding the Fourth Proportional to 2,908.38, 4,015.06 and 1,969.14

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Solution

The fourth proportional to 2,908.38, 4,015.06 and 1,969.14 is: 2,718.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.38 : 4,015.06 = 1,969.14 : x
  2. Step 2: Convert to fraction form
    2,908.38/4,015.06 = 1,969.14/x
  3. Step 3: Cross multiply
    2,908.38x = 4,015.06 × 1,969.14
  4. Step 4: Simplify right side
    2,908.38x = 7,906,215.25
  5. Step 5: Solve for x
    x = 7,906,215.25/2,908.38
  6. Step 6: Final answer
    x = 2,718.43

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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.