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Finding the Fourth Proportional to 2,679.50, 4,020.20 and 1,947.80

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Solution

The fourth proportional to 2,679.50, 4,020.20 and 1,947.80 is: 2,922.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.50 : 4,020.20 = 1,947.80 : x
  2. Step 2: Convert to fraction form
    2,679.50/4,020.20 = 1,947.80/x
  3. Step 3: Cross multiply
    2,679.50x = 4,020.20 × 1,947.80
  4. Step 4: Simplify right side
    2,679.50x = 7,830,545.56
  5. Step 5: Solve for x
    x = 7,830,545.56/2,679.50
  6. Step 6: Final answer
    x = 2,922.39

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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.