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Finding the Fourth Proportional to 2,822.27, 3,894.17 and 1,773.72

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Solution

The fourth proportional to 2,822.27, 3,894.17 and 1,773.72 is: 2,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.27 : 3,894.17 = 1,773.72 : x
  2. Step 2: Convert to fraction form
    2,822.27/3,894.17 = 1,773.72/x
  3. Step 3: Cross multiply
    2,822.27x = 3,894.17 × 1,773.72
  4. Step 4: Simplify right side
    2,822.27x = 6,907,167.21
  5. Step 5: Solve for x
    x = 6,907,167.21/2,822.27
  6. Step 6: Final answer
    x = 2,447.38

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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.