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Finding the Fourth Proportional to 2,636.57, 3,640.20 and 1,643.24

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Solution

The fourth proportional to 2,636.57, 3,640.20 and 1,643.24 is: 2,268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.57 : 3,640.20 = 1,643.24 : x
  2. Step 2: Convert to fraction form
    2,636.57/3,640.20 = 1,643.24/x
  3. Step 3: Cross multiply
    2,636.57x = 3,640.20 × 1,643.24
  4. Step 4: Simplify right side
    2,636.57x = 5,981,722.25
  5. Step 5: Solve for x
    x = 5,981,722.25/2,636.57
  6. Step 6: Final answer
    x = 2,268.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.