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Finding the Fourth Proportional to 3,305.88, 4,961.25 and 1,846.26

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Solution

The fourth proportional to 3,305.88, 4,961.25 and 1,846.26 is: 2,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.88 : 4,961.25 = 1,846.26 : x
  2. Step 2: Convert to fraction form
    3,305.88/4,961.25 = 1,846.26/x
  3. Step 3: Cross multiply
    3,305.88x = 4,961.25 × 1,846.26
  4. Step 4: Simplify right side
    3,305.88x = 9,159,757.43
  5. Step 5: Solve for x
    x = 9,159,757.43/3,305.88
  6. Step 6: Final answer
    x = 2,770.75

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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.