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Finding the Fourth Proportional to 2,794.96, 4,194.06 and 2,644.84

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Solution

The fourth proportional to 2,794.96, 4,194.06 and 2,644.84 is: 3,968.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.96 : 4,194.06 = 2,644.84 : x
  2. Step 2: Convert to fraction form
    2,794.96/4,194.06 = 2,644.84/x
  3. Step 3: Cross multiply
    2,794.96x = 4,194.06 × 2,644.84
  4. Step 4: Simplify right side
    2,794.96x = 11,092,617.65
  5. Step 5: Solve for x
    x = 11,092,617.65/2,794.96
  6. Step 6: Final answer
    x = 3,968.79

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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.