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Finding the Fourth Proportional to 2,283.72, 3,143.34 and 1,906.44

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Solution

The fourth proportional to 2,283.72, 3,143.34 and 1,906.44 is: 2,624.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.72 : 3,143.34 = 1,906.44 : x
  2. Step 2: Convert to fraction form
    2,283.72/3,143.34 = 1,906.44/x
  3. Step 3: Cross multiply
    2,283.72x = 3,143.34 × 1,906.44
  4. Step 4: Simplify right side
    2,283.72x = 5,992,589.11
  5. Step 5: Solve for x
    x = 5,992,589.11/2,283.72
  6. Step 6: Final answer
    x = 2,624.05

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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.