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Finding the Fourth Proportional to 3,243.39, 4,865.10 and 1,781.75

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Solution

The fourth proportional to 3,243.39, 4,865.10 and 1,781.75 is: 2,672.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.39 : 4,865.10 = 1,781.75 : x
  2. Step 2: Convert to fraction form
    3,243.39/4,865.10 = 1,781.75/x
  3. Step 3: Cross multiply
    3,243.39x = 4,865.10 × 1,781.75
  4. Step 4: Simplify right side
    3,243.39x = 8,668,391.93
  5. Step 5: Solve for x
    x = 8,668,391.93/3,243.39
  6. Step 6: Final answer
    x = 2,672.63

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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.