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Finding the Fourth Proportional to 2,480.97, 3,723.26 and 1,999.83

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Solution

The fourth proportional to 2,480.97, 3,723.26 and 1,999.83 is: 3,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.97 : 3,723.26 = 1,999.83 : x
  2. Step 2: Convert to fraction form
    2,480.97/3,723.26 = 1,999.83/x
  3. Step 3: Cross multiply
    2,480.97x = 3,723.26 × 1,999.83
  4. Step 4: Simplify right side
    2,480.97x = 7,445,877.05
  5. Step 5: Solve for x
    x = 7,445,877.05/2,480.97
  6. Step 6: Final answer
    x = 3,001.20

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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.