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Finding the Fourth Proportional to 2,823.90, 3,896.72 and 1,644.74

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Solution

The fourth proportional to 2,823.90, 3,896.72 and 1,644.74 is: 2,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.90 : 3,896.72 = 1,644.74 : x
  2. Step 2: Convert to fraction form
    2,823.90/3,896.72 = 1,644.74/x
  3. Step 3: Cross multiply
    2,823.90x = 3,896.72 × 1,644.74
  4. Step 4: Simplify right side
    2,823.90x = 6,409,091.25
  5. Step 5: Solve for x
    x = 6,409,091.25/2,823.90
  6. Step 6: Final answer
    x = 2,269.59

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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.