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Finding the Fourth Proportional to 2,735.43, 3,773.97 and 1,616.01

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Solution

The fourth proportional to 2,735.43, 3,773.97 and 1,616.01 is: 2,229.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.43 : 3,773.97 = 1,616.01 : x
  2. Step 2: Convert to fraction form
    2,735.43/3,773.97 = 1,616.01/x
  3. Step 3: Cross multiply
    2,735.43x = 3,773.97 × 1,616.01
  4. Step 4: Simplify right side
    2,735.43x = 6,098,773.26
  5. Step 5: Solve for x
    x = 6,098,773.26/2,735.43
  6. Step 6: Final answer
    x = 2,229.55

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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.