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Finding the Fourth Proportional to 2,228.08, 3,342.27 and 768.26

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Solution

The fourth proportional to 2,228.08, 3,342.27 and 768.26 is: 1,152.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.08 : 3,342.27 = 768.26 : x
  2. Step 2: Convert to fraction form
    2,228.08/3,342.27 = 768.26/x
  3. Step 3: Cross multiply
    2,228.08x = 3,342.27 × 768.26
  4. Step 4: Simplify right side
    2,228.08x = 2,567,732.35
  5. Step 5: Solve for x
    x = 2,567,732.35/2,228.08
  6. Step 6: Final answer
    x = 1,152.44

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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.