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Finding the Fourth Proportional to 2,219.14, 3,329.25 and 758.35

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Solution

The fourth proportional to 2,219.14, 3,329.25 and 758.35 is: 1,137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.14 : 3,329.25 = 758.35 : x
  2. Step 2: Convert to fraction form
    2,219.14/3,329.25 = 758.35/x
  3. Step 3: Cross multiply
    2,219.14x = 3,329.25 × 758.35
  4. Step 4: Simplify right side
    2,219.14x = 2,524,736.74
  5. Step 5: Solve for x
    x = 2,524,736.74/2,219.14
  6. Step 6: Final answer
    x = 1,137.71

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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.