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Finding the Fourth Proportional to 3,205.79, 4,809.33 and 1,231.34

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Solution

The fourth proportional to 3,205.79, 4,809.33 and 1,231.34 is: 1,847.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.79 : 4,809.33 = 1,231.34 : x
  2. Step 2: Convert to fraction form
    3,205.79/4,809.33 = 1,231.34/x
  3. Step 3: Cross multiply
    3,205.79x = 4,809.33 × 1,231.34
  4. Step 4: Simplify right side
    3,205.79x = 5,921,920.40
  5. Step 5: Solve for x
    x = 5,921,920.40/3,205.79
  6. Step 6: Final answer
    x = 1,847.26

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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.