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Finding the Fourth Proportional to 3,205.44, 4,806.34 and 1,330.09

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Solution

The fourth proportional to 3,205.44, 4,806.34 and 1,330.09 is: 1,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.44 : 4,806.34 = 1,330.09 : x
  2. Step 2: Convert to fraction form
    3,205.44/4,806.34 = 1,330.09/x
  3. Step 3: Cross multiply
    3,205.44x = 4,806.34 × 1,330.09
  4. Step 4: Simplify right side
    3,205.44x = 6,392,849.43
  5. Step 5: Solve for x
    x = 6,392,849.43/3,205.44
  6. Step 6: Final answer
    x = 1,994.38

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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.