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Finding the Fourth Proportional to 2,003.88, 3,001.74 and 1,635

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Solution

The fourth proportional to 2,003.88, 3,001.74 and 1,635 is: 2,449.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.88 : 3,001.74 = 1,635 : x
  2. Step 2: Convert to fraction form
    2,003.88/3,001.74 = 1,635/x
  3. Step 3: Cross multiply
    2,003.88x = 3,001.74 × 1,635
  4. Step 4: Simplify right side
    2,003.88x = 4,907,844.90
  5. Step 5: Solve for x
    x = 4,907,844.90/2,003.88
  6. Step 6: Final answer
    x = 2,449.17

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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.