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Finding the Fourth Proportional to 2,640.80, 3,643.16 and 1,592.26

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Solution

The fourth proportional to 2,640.80, 3,643.16 and 1,592.26 is: 2,196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.80 : 3,643.16 = 1,592.26 : x
  2. Step 2: Convert to fraction form
    2,640.80/3,643.16 = 1,592.26/x
  3. Step 3: Cross multiply
    2,640.80x = 3,643.16 × 1,592.26
  4. Step 4: Simplify right side
    2,640.80x = 5,800,857.94
  5. Step 5: Solve for x
    x = 5,800,857.94/2,640.80
  6. Step 6: Final answer
    x = 2,196.63

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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.