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Finding the Fourth Proportional to 2,333.43, 3,227.22 and 2,084.40

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Solution

The fourth proportional to 2,333.43, 3,227.22 and 2,084.40 is: 2,882.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.43 : 3,227.22 = 2,084.40 : x
  2. Step 2: Convert to fraction form
    2,333.43/3,227.22 = 2,084.40/x
  3. Step 3: Cross multiply
    2,333.43x = 3,227.22 × 2,084.40
  4. Step 4: Simplify right side
    2,333.43x = 6,726,817.37
  5. Step 5: Solve for x
    x = 6,726,817.37/2,333.43
  6. Step 6: Final answer
    x = 2,882.80

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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.