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Finding the Fourth Proportional to 1,902.11, 2,851.11 and 1,243.73

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Solution

The fourth proportional to 1,902.11, 2,851.11 and 1,243.73 is: 1,864.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.11 : 2,851.11 = 1,243.73 : x
  2. Step 2: Convert to fraction form
    1,902.11/2,851.11 = 1,243.73/x
  3. Step 3: Cross multiply
    1,902.11x = 2,851.11 × 1,243.73
  4. Step 4: Simplify right side
    1,902.11x = 3,546,018.17
  5. Step 5: Solve for x
    x = 3,546,018.17/1,902.11
  6. Step 6: Final answer
    x = 1,864.26

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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.