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Finding the Fourth Proportional to 2,247.44, 3,367.44 and 1,782.68

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Solution

The fourth proportional to 2,247.44, 3,367.44 and 1,782.68 is: 2,671.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.44 : 3,367.44 = 1,782.68 : x
  2. Step 2: Convert to fraction form
    2,247.44/3,367.44 = 1,782.68/x
  3. Step 3: Cross multiply
    2,247.44x = 3,367.44 × 1,782.68
  4. Step 4: Simplify right side
    2,247.44x = 6,003,067.94
  5. Step 5: Solve for x
    x = 6,003,067.94/2,247.44
  6. Step 6: Final answer
    x = 2,671.07

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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.