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Finding the Fourth Proportional to 3,282.75, 4,530.20 and 2,234.81

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Solution

The fourth proportional to 3,282.75, 4,530.20 and 2,234.81 is: 3,084.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.75 : 4,530.20 = 2,234.81 : x
  2. Step 2: Convert to fraction form
    3,282.75/4,530.20 = 2,234.81/x
  3. Step 3: Cross multiply
    3,282.75x = 4,530.20 × 2,234.81
  4. Step 4: Simplify right side
    3,282.75x = 10,124,136.41
  5. Step 5: Solve for x
    x = 10,124,136.41/3,282.75
  6. Step 6: Final answer
    x = 3,084.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.