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Finding the Fourth Proportional to 2,294.03, 3,163.68 and 1,940.72

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Solution

The fourth proportional to 2,294.03, 3,163.68 and 1,940.72 is: 2,676.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.03 : 3,163.68 = 1,940.72 : x
  2. Step 2: Convert to fraction form
    2,294.03/3,163.68 = 1,940.72/x
  3. Step 3: Cross multiply
    2,294.03x = 3,163.68 × 1,940.72
  4. Step 4: Simplify right side
    2,294.03x = 6,139,801.23
  5. Step 5: Solve for x
    x = 6,139,801.23/2,294.03
  6. Step 6: Final answer
    x = 2,676.43

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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.