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Finding the Fourth Proportional to 2,305.94, 3,183.50 and 1,522.26

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Solution

The fourth proportional to 2,305.94, 3,183.50 and 1,522.26 is: 2,101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.94 : 3,183.50 = 1,522.26 : x
  2. Step 2: Convert to fraction form
    2,305.94/3,183.50 = 1,522.26/x
  3. Step 3: Cross multiply
    2,305.94x = 3,183.50 × 1,522.26
  4. Step 4: Simplify right side
    2,305.94x = 4,846,118.52
  5. Step 5: Solve for x
    x = 4,846,118.52/2,305.94
  6. Step 6: Final answer
    x = 2,101.59

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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.