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Finding the Fourth Proportional to 2,906.56, 4,354.00 and 1,344.37

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Solution

The fourth proportional to 2,906.56, 4,354.00 and 1,344.37 is: 2,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.56 : 4,354.00 = 1,344.37 : x
  2. Step 2: Convert to fraction form
    2,906.56/4,354.00 = 1,344.37/x
  3. Step 3: Cross multiply
    2,906.56x = 4,354.00 × 1,344.37
  4. Step 4: Simplify right side
    2,906.56x = 5,853,380.26
  5. Step 5: Solve for x
    x = 5,853,380.26/2,906.56
  6. Step 6: Final answer
    x = 2,013.85

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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.