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Finding the Fourth Proportional to 3,005, 4,143.12 and 2,322.44

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Solution

The fourth proportional to 3,005, 4,143.12 and 2,322.44 is: 3,202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005 : 4,143.12 = 2,322.44 : x
  2. Step 2: Convert to fraction form
    3,005/4,143.12 = 2,322.44/x
  3. Step 3: Cross multiply
    3,005x = 4,143.12 × 2,322.44
  4. Step 4: Simplify right side
    3,005x = 9,622,147.61
  5. Step 5: Solve for x
    x = 9,622,147.61/3,005
  6. Step 6: Final answer
    x = 3,202.05

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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.