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Finding the Fourth Proportional to 2,282.42, 3,422.82 and 821.18

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Solution

The fourth proportional to 2,282.42, 3,422.82 and 821.18 is: 1,231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.42 : 3,422.82 = 821.18 : x
  2. Step 2: Convert to fraction form
    2,282.42/3,422.82 = 821.18/x
  3. Step 3: Cross multiply
    2,282.42x = 3,422.82 × 821.18
  4. Step 4: Simplify right side
    2,282.42x = 2,810,751.33
  5. Step 5: Solve for x
    x = 2,810,751.33/2,282.42
  6. Step 6: Final answer
    x = 1,231.48

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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.