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Finding the Fourth Proportional to 2,381.94, 3,284.31 and 2,234.34

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Solution

The fourth proportional to 2,381.94, 3,284.31 and 2,234.34 is: 3,080.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.94 : 3,284.31 = 2,234.34 : x
  2. Step 2: Convert to fraction form
    2,381.94/3,284.31 = 2,234.34/x
  3. Step 3: Cross multiply
    2,381.94x = 3,284.31 × 2,234.34
  4. Step 4: Simplify right side
    2,381.94x = 7,338,265.21
  5. Step 5: Solve for x
    x = 7,338,265.21/2,381.94
  6. Step 6: Final answer
    x = 3,080.79

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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.