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Finding the Fourth Proportional to 1,571.43, 2,168.62 and 908.11

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Solution

The fourth proportional to 1,571.43, 2,168.62 and 908.11 is: 1,253.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.43 : 2,168.62 = 908.11 : x
  2. Step 2: Convert to fraction form
    1,571.43/2,168.62 = 908.11/x
  3. Step 3: Cross multiply
    1,571.43x = 2,168.62 × 908.11
  4. Step 4: Simplify right side
    1,571.43x = 1,969,351.06
  5. Step 5: Solve for x
    x = 1,969,351.06/1,571.43
  6. Step 6: Final answer
    x = 1,253.23

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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.