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Finding the Fourth Proportional to 3,243.75, 4,865.99 and 1,191.75

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Solution

The fourth proportional to 3,243.75, 4,865.99 and 1,191.75 is: 1,787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.75 : 4,865.99 = 1,191.75 : x
  2. Step 2: Convert to fraction form
    3,243.75/4,865.99 = 1,191.75/x
  3. Step 3: Cross multiply
    3,243.75x = 4,865.99 × 1,191.75
  4. Step 4: Simplify right side
    3,243.75x = 5,799,043.58
  5. Step 5: Solve for x
    x = 5,799,043.58/3,243.75
  6. Step 6: Final answer
    x = 1,787.76

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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.