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Finding the Fourth Proportional to 3,266.88, 4,893.66 and 1,947.48

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Solution

The fourth proportional to 3,266.88, 4,893.66 and 1,947.48 is: 2,917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.88 : 4,893.66 = 1,947.48 : x
  2. Step 2: Convert to fraction form
    3,266.88/4,893.66 = 1,947.48/x
  3. Step 3: Cross multiply
    3,266.88x = 4,893.66 × 1,947.48
  4. Step 4: Simplify right side
    3,266.88x = 9,530,304.98
  5. Step 5: Solve for x
    x = 9,530,304.98/3,266.88
  6. Step 6: Final answer
    x = 2,917.25

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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.