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Finding the Fourth Proportional to 4,763, 7,144.50 and 2,027

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Solution

The fourth proportional to 4,763, 7,144.50 and 2,027 is: 3,040.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763 : 7,144.50 = 2,027 : x
  2. Step 2: Convert to fraction form
    4,763/7,144.50 = 2,027/x
  3. Step 3: Cross multiply
    4,763x = 7,144.50 × 2,027
  4. Step 4: Simplify right side
    4,763x = 14,481,901.50
  5. Step 5: Solve for x
    x = 14,481,901.50/4,763
  6. Step 6: Final answer
    x = 3,040.50

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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.