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Finding the Fourth Proportional to 2,778.69, 4,171.30 and 2,194.09

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Solution

The fourth proportional to 2,778.69, 4,171.30 and 2,194.09 is: 3,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.69 : 4,171.30 = 2,194.09 : x
  2. Step 2: Convert to fraction form
    2,778.69/4,171.30 = 2,194.09/x
  3. Step 3: Cross multiply
    2,778.69x = 4,171.30 × 2,194.09
  4. Step 4: Simplify right side
    2,778.69x = 9,152,194.48
  5. Step 5: Solve for x
    x = 9,152,194.48/2,778.69
  6. Step 6: Final answer
    x = 3,293.70

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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.