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Finding the Fourth Proportional to 2,680.80, 4,021.80 and 949.41

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Solution

The fourth proportional to 2,680.80, 4,021.80 and 949.41 is: 1,424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.80 : 4,021.80 = 949.41 : x
  2. Step 2: Convert to fraction form
    2,680.80/4,021.80 = 949.41/x
  3. Step 3: Cross multiply
    2,680.80x = 4,021.80 × 949.41
  4. Step 4: Simplify right side
    2,680.80x = 3,818,337.14
  5. Step 5: Solve for x
    x = 3,818,337.14/2,680.80
  6. Step 6: Final answer
    x = 1,424.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.