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Finding the Fourth Proportional to 2,828.82, 3,902.48 and 1,990.07

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Solution

The fourth proportional to 2,828.82, 3,902.48 and 1,990.07 is: 2,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.82 : 3,902.48 = 1,990.07 : x
  2. Step 2: Convert to fraction form
    2,828.82/3,902.48 = 1,990.07/x
  3. Step 3: Cross multiply
    2,828.82x = 3,902.48 × 1,990.07
  4. Step 4: Simplify right side
    2,828.82x = 7,766,201.01
  5. Step 5: Solve for x
    x = 7,766,201.01/2,828.82
  6. Step 6: Final answer
    x = 2,745.38

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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.