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Finding the Fourth Proportional to 2,367.87, 3,553.37 and 906.96

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Solution

The fourth proportional to 2,367.87, 3,553.37 and 906.96 is: 1,361.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.87 : 3,553.37 = 906.96 : x
  2. Step 2: Convert to fraction form
    2,367.87/3,553.37 = 906.96/x
  3. Step 3: Cross multiply
    2,367.87x = 3,553.37 × 906.96
  4. Step 4: Simplify right side
    2,367.87x = 3,222,776.65
  5. Step 5: Solve for x
    x = 3,222,776.65/2,367.87
  6. Step 6: Final answer
    x = 1,361.05

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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.