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Finding the Fourth Proportional to 2,600.82, 3,900.77 and 847.07

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Solution

The fourth proportional to 2,600.82, 3,900.77 and 847.07 is: 1,270.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.82 : 3,900.77 = 847.07 : x
  2. Step 2: Convert to fraction form
    2,600.82/3,900.77 = 847.07/x
  3. Step 3: Cross multiply
    2,600.82x = 3,900.77 × 847.07
  4. Step 4: Simplify right side
    2,600.82x = 3,304,201.50
  5. Step 5: Solve for x
    x = 3,304,201.50/2,600.82
  6. Step 6: Final answer
    x = 1,270.45

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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.