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Finding the Fourth Proportional to 2,744.21, 3,784.79 and 2,212.94

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Solution

The fourth proportional to 2,744.21, 3,784.79 and 2,212.94 is: 3,052.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.21 : 3,784.79 = 2,212.94 : x
  2. Step 2: Convert to fraction form
    2,744.21/3,784.79 = 2,212.94/x
  3. Step 3: Cross multiply
    2,744.21x = 3,784.79 × 2,212.94
  4. Step 4: Simplify right side
    2,744.21x = 8,375,528.18
  5. Step 5: Solve for x
    x = 8,375,528.18/2,744.21
  6. Step 6: Final answer
    x = 3,052.07

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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.