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Finding the Fourth Proportional to 2,227.37, 3,340.83 and 766.63

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Solution

The fourth proportional to 2,227.37, 3,340.83 and 766.63 is: 1,149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.37 : 3,340.83 = 766.63 : x
  2. Step 2: Convert to fraction form
    2,227.37/3,340.83 = 766.63/x
  3. Step 3: Cross multiply
    2,227.37x = 3,340.83 × 766.63
  4. Step 4: Simplify right side
    2,227.37x = 2,561,180.50
  5. Step 5: Solve for x
    x = 2,561,180.50/2,227.37
  6. Step 6: Final answer
    x = 1,149.87

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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.