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Finding the Fourth Proportional to 2,226.08, 3,339.27 and 766.26

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Solution

The fourth proportional to 2,226.08, 3,339.27 and 766.26 is: 1,149.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.08 : 3,339.27 = 766.26 : x
  2. Step 2: Convert to fraction form
    2,226.08/3,339.27 = 766.26/x
  3. Step 3: Cross multiply
    2,226.08x = 3,339.27 × 766.26
  4. Step 4: Simplify right side
    2,226.08x = 2,558,749.03
  5. Step 5: Solve for x
    x = 2,558,749.03/2,226.08
  6. Step 6: Final answer
    x = 1,149.44

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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.