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Finding the Fourth Proportional to 4,560.50, 6,843.49 and 1,963.44

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Solution

The fourth proportional to 4,560.50, 6,843.49 and 1,963.44 is: 2,946.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560.50 : 6,843.49 = 1,963.44 : x
  2. Step 2: Convert to fraction form
    4,560.50/6,843.49 = 1,963.44/x
  3. Step 3: Cross multiply
    4,560.50x = 6,843.49 × 1,963.44
  4. Step 4: Simplify right side
    4,560.50x = 13,436,777.10
  5. Step 5: Solve for x
    x = 13,436,777.10/4,560.50
  6. Step 6: Final answer
    x = 2,946.34

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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.