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Finding the Fourth Proportional to 1,982.22, 2,734.99 and 1,185.80

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Solution

The fourth proportional to 1,982.22, 2,734.99 and 1,185.80 is: 1,636.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.22 : 2,734.99 = 1,185.80 : x
  2. Step 2: Convert to fraction form
    1,982.22/2,734.99 = 1,185.80/x
  3. Step 3: Cross multiply
    1,982.22x = 2,734.99 × 1,185.80
  4. Step 4: Simplify right side
    1,982.22x = 3,243,151.14
  5. Step 5: Solve for x
    x = 3,243,151.14/1,982.22
  6. Step 6: Final answer
    x = 1,636.12

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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.