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Finding the Fourth Proportional to 2,294.70, 3,167.44 and 1,350.44

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Solution

The fourth proportional to 2,294.70, 3,167.44 and 1,350.44 is: 1,864.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.70 : 3,167.44 = 1,350.44 : x
  2. Step 2: Convert to fraction form
    2,294.70/3,167.44 = 1,350.44/x
  3. Step 3: Cross multiply
    2,294.70x = 3,167.44 × 1,350.44
  4. Step 4: Simplify right side
    2,294.70x = 4,277,442.22
  5. Step 5: Solve for x
    x = 4,277,442.22/2,294.70
  6. Step 6: Final answer
    x = 1,864.05

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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.