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Finding the Fourth Proportional to 2,150.72, 3,226.39 and 763.94

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Solution

The fourth proportional to 2,150.72, 3,226.39 and 763.94 is: 1,146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.72 : 3,226.39 = 763.94 : x
  2. Step 2: Convert to fraction form
    2,150.72/3,226.39 = 763.94/x
  3. Step 3: Cross multiply
    2,150.72x = 3,226.39 × 763.94
  4. Step 4: Simplify right side
    2,150.72x = 2,464,752.24
  5. Step 5: Solve for x
    x = 2,464,752.24/2,150.72
  6. Step 6: Final answer
    x = 1,146.02

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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.