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Finding the Fourth Proportional to 2,694.29, 4,035.50 and 2,073.43

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Solution

The fourth proportional to 2,694.29, 4,035.50 and 2,073.43 is: 3,105.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.29 : 4,035.50 = 2,073.43 : x
  2. Step 2: Convert to fraction form
    2,694.29/4,035.50 = 2,073.43/x
  3. Step 3: Cross multiply
    2,694.29x = 4,035.50 × 2,073.43
  4. Step 4: Simplify right side
    2,694.29x = 8,367,296.22
  5. Step 5: Solve for x
    x = 8,367,296.22/2,694.29
  6. Step 6: Final answer
    x = 3,105.57

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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.