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Finding the Fourth Proportional to 2,823.87, 3,896.49 and 1,644.69

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Solution

The fourth proportional to 2,823.87, 3,896.49 and 1,644.69 is: 2,269.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.87 : 3,896.49 = 1,644.69 : x
  2. Step 2: Convert to fraction form
    2,823.87/3,896.49 = 1,644.69/x
  3. Step 3: Cross multiply
    2,823.87x = 3,896.49 × 1,644.69
  4. Step 4: Simplify right side
    2,823.87x = 6,408,518.14
  5. Step 5: Solve for x
    x = 6,408,518.14/2,823.87
  6. Step 6: Final answer
    x = 2,269.41

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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.