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Finding the Fourth Proportional to 3,269.80, 4,906.32 and 2,407.96

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Solution

The fourth proportional to 3,269.80, 4,906.32 and 2,407.96 is: 3,613.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.80 : 4,906.32 = 2,407.96 : x
  2. Step 2: Convert to fraction form
    3,269.80/4,906.32 = 2,407.96/x
  3. Step 3: Cross multiply
    3,269.80x = 4,906.32 × 2,407.96
  4. Step 4: Simplify right side
    3,269.80x = 11,814,222.31
  5. Step 5: Solve for x
    x = 11,814,222.31/3,269.80
  6. Step 6: Final answer
    x = 3,613.13

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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.