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Finding the Fourth Proportional to 2,569.70, 3,843.56 and 2,144.96

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Solution

The fourth proportional to 2,569.70, 3,843.56 and 2,144.96 is: 3,208.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.70 : 3,843.56 = 2,144.96 : x
  2. Step 2: Convert to fraction form
    2,569.70/3,843.56 = 2,144.96/x
  3. Step 3: Cross multiply
    2,569.70x = 3,843.56 × 2,144.96
  4. Step 4: Simplify right side
    2,569.70x = 8,244,266.93
  5. Step 5: Solve for x
    x = 8,244,266.93/2,569.70
  6. Step 6: Final answer
    x = 3,208.27

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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.