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Finding the Fourth Proportional to 2,642.22, 3,963.62 and 1,181.18

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Solution

The fourth proportional to 2,642.22, 3,963.62 and 1,181.18 is: 1,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.22 : 3,963.62 = 1,181.18 : x
  2. Step 2: Convert to fraction form
    2,642.22/3,963.62 = 1,181.18/x
  3. Step 3: Cross multiply
    2,642.22x = 3,963.62 × 1,181.18
  4. Step 4: Simplify right side
    2,642.22x = 4,681,761.53
  5. Step 5: Solve for x
    x = 4,681,761.53/2,642.22
  6. Step 6: Final answer
    x = 1,771.90

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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.