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Finding the Fourth Proportional to 2,150.52, 3,226.20 and 763.96

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Solution

The fourth proportional to 2,150.52, 3,226.20 and 763.96 is: 1,146.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.52 : 3,226.20 = 763.96 : x
  2. Step 2: Convert to fraction form
    2,150.52/3,226.20 = 763.96/x
  3. Step 3: Cross multiply
    2,150.52x = 3,226.20 × 763.96
  4. Step 4: Simplify right side
    2,150.52x = 2,464,687.75
  5. Step 5: Solve for x
    x = 2,464,687.75/2,150.52
  6. Step 6: Final answer
    x = 1,146.09

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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.