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Finding the Fourth Proportional to 2,443.22, 3,664.42 and 711.44

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Solution

The fourth proportional to 2,443.22, 3,664.42 and 711.44 is: 1,067.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.22 : 3,664.42 = 711.44 : x
  2. Step 2: Convert to fraction form
    2,443.22/3,664.42 = 711.44/x
  3. Step 3: Cross multiply
    2,443.22x = 3,664.42 × 711.44
  4. Step 4: Simplify right side
    2,443.22x = 2,607,014.96
  5. Step 5: Solve for x
    x = 2,607,014.96/2,443.22
  6. Step 6: Final answer
    x = 1,067.04

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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.