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Finding the Fourth Proportional to 2,089.82, 2,883.74 and 1,250.37

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Solution

The fourth proportional to 2,089.82, 2,883.74 and 1,250.37 is: 1,725.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.82 : 2,883.74 = 1,250.37 : x
  2. Step 2: Convert to fraction form
    2,089.82/2,883.74 = 1,250.37/x
  3. Step 3: Cross multiply
    2,089.82x = 2,883.74 × 1,250.37
  4. Step 4: Simplify right side
    2,089.82x = 3,605,735.73
  5. Step 5: Solve for x
    x = 3,605,735.73/2,089.82
  6. Step 6: Final answer
    x = 1,725.38

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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.