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Finding the Fourth Proportional to 2,268.87, 3,398.07 and 1,640.18

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Solution

The fourth proportional to 2,268.87, 3,398.07 and 1,640.18 is: 2,456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.87 : 3,398.07 = 1,640.18 : x
  2. Step 2: Convert to fraction form
    2,268.87/3,398.07 = 1,640.18/x
  3. Step 3: Cross multiply
    2,268.87x = 3,398.07 × 1,640.18
  4. Step 4: Simplify right side
    2,268.87x = 5,573,446.45
  5. Step 5: Solve for x
    x = 5,573,446.45/2,268.87
  6. Step 6: Final answer
    x = 2,456.49

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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.