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Finding the Fourth Proportional to 2,600.82, 3,893.94 and 2,396.70

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Solution

The fourth proportional to 2,600.82, 3,893.94 and 2,396.70 is: 3,588.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.82 : 3,893.94 = 2,396.70 : x
  2. Step 2: Convert to fraction form
    2,600.82/3,893.94 = 2,396.70/x
  3. Step 3: Cross multiply
    2,600.82x = 3,893.94 × 2,396.70
  4. Step 4: Simplify right side
    2,600.82x = 9,332,606.00
  5. Step 5: Solve for x
    x = 9,332,606.00/2,600.82
  6. Step 6: Final answer
    x = 3,588.33

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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.