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Finding the Fourth Proportional to 2,768.76, 4,147.47 and 2,217.96

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Solution

The fourth proportional to 2,768.76, 4,147.47 and 2,217.96 is: 3,322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.76 : 4,147.47 = 2,217.96 : x
  2. Step 2: Convert to fraction form
    2,768.76/4,147.47 = 2,217.96/x
  3. Step 3: Cross multiply
    2,768.76x = 4,147.47 × 2,217.96
  4. Step 4: Simplify right side
    2,768.76x = 9,198,922.56
  5. Step 5: Solve for x
    x = 9,198,922.56/2,768.76
  6. Step 6: Final answer
    x = 3,322.40

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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.