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Finding the Fourth Proportional to 2,226.28, 3,339.48 and 765.56

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Solution

The fourth proportional to 2,226.28, 3,339.48 and 765.56 is: 1,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.28 : 3,339.48 = 765.56 : x
  2. Step 2: Convert to fraction form
    2,226.28/3,339.48 = 765.56/x
  3. Step 3: Cross multiply
    2,226.28x = 3,339.48 × 765.56
  4. Step 4: Simplify right side
    2,226.28x = 2,556,572.31
  5. Step 5: Solve for x
    x = 2,556,572.31/2,226.28
  6. Step 6: Final answer
    x = 1,148.36

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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.