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Finding the Fourth Proportional to 2,234.57, 3,083.26 and 1,350.42

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Solution

The fourth proportional to 2,234.57, 3,083.26 and 1,350.42 is: 1,863.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.57 : 3,083.26 = 1,350.42 : x
  2. Step 2: Convert to fraction form
    2,234.57/3,083.26 = 1,350.42/x
  3. Step 3: Cross multiply
    2,234.57x = 3,083.26 × 1,350.42
  4. Step 4: Simplify right side
    2,234.57x = 4,163,689.22
  5. Step 5: Solve for x
    x = 4,163,689.22/2,234.57
  6. Step 6: Final answer
    x = 1,863.31

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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.