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Finding the Fourth Proportional to 2,255.84, 3,367.42 and 1,949.66

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Solution

The fourth proportional to 2,255.84, 3,367.42 and 1,949.66 is: 2,910.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.84 : 3,367.42 = 1,949.66 : x
  2. Step 2: Convert to fraction form
    2,255.84/3,367.42 = 1,949.66/x
  3. Step 3: Cross multiply
    2,255.84x = 3,367.42 × 1,949.66
  4. Step 4: Simplify right side
    2,255.84x = 6,565,324.08
  5. Step 5: Solve for x
    x = 6,565,324.08/2,255.84
  6. Step 6: Final answer
    x = 2,910.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.