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Finding the Fourth Proportional to 2,813.88, 3,880.62 and 2,343.33

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Solution

The fourth proportional to 2,813.88, 3,880.62 and 2,343.33 is: 3,231.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.88 : 3,880.62 = 2,343.33 : x
  2. Step 2: Convert to fraction form
    2,813.88/3,880.62 = 2,343.33/x
  3. Step 3: Cross multiply
    2,813.88x = 3,880.62 × 2,343.33
  4. Step 4: Simplify right side
    2,813.88x = 9,093,553.86
  5. Step 5: Solve for x
    x = 9,093,553.86/2,813.88
  6. Step 6: Final answer
    x = 3,231.68

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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.