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Finding the Fourth Proportional to 3,205.98, 4,809.51 and 1,015.20

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Solution

The fourth proportional to 3,205.98, 4,809.51 and 1,015.20 is: 1,522.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.98 : 4,809.51 = 1,015.20 : x
  2. Step 2: Convert to fraction form
    3,205.98/4,809.51 = 1,015.20/x
  3. Step 3: Cross multiply
    3,205.98x = 4,809.51 × 1,015.20
  4. Step 4: Simplify right side
    3,205.98x = 4,882,614.55
  5. Step 5: Solve for x
    x = 4,882,614.55/3,205.98
  6. Step 6: Final answer
    x = 1,522.97

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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.