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Finding the Fourth Proportional to 2,001, 3,001.83 and 614.31

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Solution

The fourth proportional to 2,001, 3,001.83 and 614.31 is: 921.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001 : 3,001.83 = 614.31 : x
  2. Step 2: Convert to fraction form
    2,001/3,001.83 = 614.31/x
  3. Step 3: Cross multiply
    2,001x = 3,001.83 × 614.31
  4. Step 4: Simplify right side
    2,001x = 1,844,054.19
  5. Step 5: Solve for x
    x = 1,844,054.19/2,001
  6. Step 6: Final answer
    x = 921.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.