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Finding the Fourth Proportional to 3,205.09, 4,798.94 and 1,662.85

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Solution

The fourth proportional to 3,205.09, 4,798.94 and 1,662.85 is: 2,489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.09 : 4,798.94 = 1,662.85 : x
  2. Step 2: Convert to fraction form
    3,205.09/4,798.94 = 1,662.85/x
  3. Step 3: Cross multiply
    3,205.09x = 4,798.94 × 1,662.85
  4. Step 4: Simplify right side
    3,205.09x = 7,979,909.54
  5. Step 5: Solve for x
    x = 7,979,909.54/3,205.09
  6. Step 6: Final answer
    x = 2,489.76

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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.