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Finding the Fourth Proportional to 2,286.20, 3,428.96 and 642.91

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Solution

The fourth proportional to 2,286.20, 3,428.96 and 642.91 is: 964.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.20 : 3,428.96 = 642.91 : x
  2. Step 2: Convert to fraction form
    2,286.20/3,428.96 = 642.91/x
  3. Step 3: Cross multiply
    2,286.20x = 3,428.96 × 642.91
  4. Step 4: Simplify right side
    2,286.20x = 2,204,512.67
  5. Step 5: Solve for x
    x = 2,204,512.67/2,286.20
  6. Step 6: Final answer
    x = 964.27

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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.