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Finding the Fourth Proportional to 2,480.97, 3,722.16 and 2,023.08

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Solution

The fourth proportional to 2,480.97, 3,722.16 and 2,023.08 is: 3,035.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.97 : 3,722.16 = 2,023.08 : x
  2. Step 2: Convert to fraction form
    2,480.97/3,722.16 = 2,023.08/x
  3. Step 3: Cross multiply
    2,480.97x = 3,722.16 × 2,023.08
  4. Step 4: Simplify right side
    2,480.97x = 7,530,227.45
  5. Step 5: Solve for x
    x = 7,530,227.45/2,480.97
  6. Step 6: Final answer
    x = 3,035.19

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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.