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Finding the Fourth Proportional to 2,226.14, 3,339.61 and 764.97

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Solution

The fourth proportional to 2,226.14, 3,339.61 and 764.97 is: 1,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.14 : 3,339.61 = 764.97 : x
  2. Step 2: Convert to fraction form
    2,226.14/3,339.61 = 764.97/x
  3. Step 3: Cross multiply
    2,226.14x = 3,339.61 × 764.97
  4. Step 4: Simplify right side
    2,226.14x = 2,554,701.46
  5. Step 5: Solve for x
    x = 2,554,701.46/2,226.14
  6. Step 6: Final answer
    x = 1,147.59

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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.