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Finding the Fourth Proportional to 2,001.20, 3,002.36 and 685.25

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Solution

The fourth proportional to 2,001.20, 3,002.36 and 685.25 is: 1,028.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.20 : 3,002.36 = 685.25 : x
  2. Step 2: Convert to fraction form
    2,001.20/3,002.36 = 685.25/x
  3. Step 3: Cross multiply
    2,001.20x = 3,002.36 × 685.25
  4. Step 4: Simplify right side
    2,001.20x = 2,057,348.75
  5. Step 5: Solve for x
    x = 2,057,348.75/2,001.20
  6. Step 6: Final answer
    x = 1,028.06

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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.