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Finding the Fourth Proportional to 3,205.42, 4,809.66 and 1,451.66

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Solution

The fourth proportional to 3,205.42, 4,809.66 and 1,451.66 is: 2,178.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.42 : 4,809.66 = 1,451.66 : x
  2. Step 2: Convert to fraction form
    3,205.42/4,809.66 = 1,451.66/x
  3. Step 3: Cross multiply
    3,205.42x = 4,809.66 × 1,451.66
  4. Step 4: Simplify right side
    3,205.42x = 6,981,991.04
  5. Step 5: Solve for x
    x = 6,981,991.04/3,205.42
  6. Step 6: Final answer
    x = 2,178.18

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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.