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Finding the Fourth Proportional to 2,262.20, 3,392.84 and 618.61

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Solution

The fourth proportional to 2,262.20, 3,392.84 and 618.61 is: 927.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.20 : 3,392.84 = 618.61 : x
  2. Step 2: Convert to fraction form
    2,262.20/3,392.84 = 618.61/x
  3. Step 3: Cross multiply
    2,262.20x = 3,392.84 × 618.61
  4. Step 4: Simplify right side
    2,262.20x = 2,098,844.75
  5. Step 5: Solve for x
    x = 2,098,844.75/2,262.20
  6. Step 6: Final answer
    x = 927.79

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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.