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Finding the Fourth Proportional to 3,269.91, 4,512.48 and 1,777.81

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Solution

The fourth proportional to 3,269.91, 4,512.48 and 1,777.81 is: 2,453.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.91 : 4,512.48 = 1,777.81 : x
  2. Step 2: Convert to fraction form
    3,269.91/4,512.48 = 1,777.81/x
  3. Step 3: Cross multiply
    3,269.91x = 4,512.48 × 1,777.81
  4. Step 4: Simplify right side
    3,269.91x = 8,022,332.07
  5. Step 5: Solve for x
    x = 8,022,332.07/3,269.91
  6. Step 6: Final answer
    x = 2,453.38

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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.