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Finding the Fourth Proportional to 2,661.76, 3,979.50 and 2,255.44

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Solution

The fourth proportional to 2,661.76, 3,979.50 and 2,255.44 is: 3,372.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.76 : 3,979.50 = 2,255.44 : x
  2. Step 2: Convert to fraction form
    2,661.76/3,979.50 = 2,255.44/x
  3. Step 3: Cross multiply
    2,661.76x = 3,979.50 × 2,255.44
  4. Step 4: Simplify right side
    2,661.76x = 8,975,523.48
  5. Step 5: Solve for x
    x = 8,975,523.48/2,661.76
  6. Step 6: Final answer
    x = 3,372.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.