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Finding the Fourth Proportional to 2,480.03, 3,720.20 and 814.27

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Solution

The fourth proportional to 2,480.03, 3,720.20 and 814.27 is: 1,221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.03 : 3,720.20 = 814.27 : x
  2. Step 2: Convert to fraction form
    2,480.03/3,720.20 = 814.27/x
  3. Step 3: Cross multiply
    2,480.03x = 3,720.20 × 814.27
  4. Step 4: Simplify right side
    2,480.03x = 3,029,233.88
  5. Step 5: Solve for x
    x = 3,029,233.88/2,480.03
  6. Step 6: Final answer
    x = 1,221.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.