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Finding the Fourth Proportional to 2,305.96, 3,183.14 and 1,559.56

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Solution

The fourth proportional to 2,305.96, 3,183.14 and 1,559.56 is: 2,152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.96 : 3,183.14 = 1,559.56 : x
  2. Step 2: Convert to fraction form
    2,305.96/3,183.14 = 1,559.56/x
  3. Step 3: Cross multiply
    2,305.96x = 3,183.14 × 1,559.56
  4. Step 4: Simplify right side
    2,305.96x = 4,964,297.82
  5. Step 5: Solve for x
    x = 4,964,297.82/2,305.96
  6. Step 6: Final answer
    x = 2,152.81

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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.