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Finding the Fourth Proportional to 3,269.73, 4,512.32 and 1,777.75

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Solution

The fourth proportional to 3,269.73, 4,512.32 and 1,777.75 is: 2,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.73 : 4,512.32 = 1,777.75 : x
  2. Step 2: Convert to fraction form
    3,269.73/4,512.32 = 1,777.75/x
  3. Step 3: Cross multiply
    3,269.73x = 4,512.32 × 1,777.75
  4. Step 4: Simplify right side
    3,269.73x = 8,021,756.71
  5. Step 5: Solve for x
    x = 8,021,756.71/3,269.73
  6. Step 6: Final answer
    x = 2,453.34

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Why These Related Problems?

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