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Finding the Fourth Proportional to 1,982.39, 2,733.17 and 1,627.02

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Solution

The fourth proportional to 1,982.39, 2,733.17 and 1,627.02 is: 2,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.39 : 2,733.17 = 1,627.02 : x
  2. Step 2: Convert to fraction form
    1,982.39/2,733.17 = 1,627.02/x
  3. Step 3: Cross multiply
    1,982.39x = 2,733.17 × 1,627.02
  4. Step 4: Simplify right side
    1,982.39x = 4,446,914.12
  5. Step 5: Solve for x
    x = 4,446,914.12/1,982.39
  6. Step 6: Final answer
    x = 2,243.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.