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Finding the Fourth Proportional to 2,380.92, 3,286.26 and 1,437

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Solution

The fourth proportional to 2,380.92, 3,286.26 and 1,437 is: 1,983.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.92 : 3,286.26 = 1,437 : x
  2. Step 2: Convert to fraction form
    2,380.92/3,286.26 = 1,437/x
  3. Step 3: Cross multiply
    2,380.92x = 3,286.26 × 1,437
  4. Step 4: Simplify right side
    2,380.92x = 4,722,355.62
  5. Step 5: Solve for x
    x = 4,722,355.62/2,380.92
  6. Step 6: Final answer
    x = 1,983.42

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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.