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Finding the Fourth Proportional to 3,206.70, 4,806.25 and 1,449.63

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Solution

The fourth proportional to 3,206.70, 4,806.25 and 1,449.63 is: 2,172.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.70 : 4,806.25 = 1,449.63 : x
  2. Step 2: Convert to fraction form
    3,206.70/4,806.25 = 1,449.63/x
  3. Step 3: Cross multiply
    3,206.70x = 4,806.25 × 1,449.63
  4. Step 4: Simplify right side
    3,206.70x = 6,967,280.56
  5. Step 5: Solve for x
    x = 6,967,280.56/3,206.70
  6. Step 6: Final answer
    x = 2,172.73

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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.