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Finding the Fourth Proportional to 2,564.29, 3,843.74 and 1,452.31

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Solution

The fourth proportional to 2,564.29, 3,843.74 and 1,452.31 is: 2,176.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.29 : 3,843.74 = 1,452.31 : x
  2. Step 2: Convert to fraction form
    2,564.29/3,843.74 = 1,452.31/x
  3. Step 3: Cross multiply
    2,564.29x = 3,843.74 × 1,452.31
  4. Step 4: Simplify right side
    2,564.29x = 5,582,311.65
  5. Step 5: Solve for x
    x = 5,582,311.65/2,564.29
  6. Step 6: Final answer
    x = 2,176.94

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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.