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Finding the Fourth Proportional to 3,270.69, 4,514.86 and 2,012.25

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Solution

The fourth proportional to 3,270.69, 4,514.86 and 2,012.25 is: 2,777.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.69 : 4,514.86 = 2,012.25 : x
  2. Step 2: Convert to fraction form
    3,270.69/4,514.86 = 2,012.25/x
  3. Step 3: Cross multiply
    3,270.69x = 4,514.86 × 2,012.25
  4. Step 4: Simplify right side
    3,270.69x = 9,085,027.04
  5. Step 5: Solve for x
    x = 9,085,027.04/3,270.69
  6. Step 6: Final answer
    x = 2,777.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.