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Finding the Fourth Proportional to 2,305.57, 3,183.09 and 1,559.65

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Solution

The fourth proportional to 2,305.57, 3,183.09 and 1,559.65 is: 2,153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.57 : 3,183.09 = 1,559.65 : x
  2. Step 2: Convert to fraction form
    2,305.57/3,183.09 = 1,559.65/x
  3. Step 3: Cross multiply
    2,305.57x = 3,183.09 × 1,559.65
  4. Step 4: Simplify right side
    2,305.57x = 4,964,506.32
  5. Step 5: Solve for x
    x = 4,964,506.32/2,305.57
  6. Step 6: Final answer
    x = 2,153.27

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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.