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Finding the Fourth Proportional to 2,778.93, 4,171.65 and 2,194.32

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Solution

The fourth proportional to 2,778.93, 4,171.65 and 2,194.32 is: 3,294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.93 : 4,171.65 = 2,194.32 : x
  2. Step 2: Convert to fraction form
    2,778.93/4,171.65 = 2,194.32/x
  3. Step 3: Cross multiply
    2,778.93x = 4,171.65 × 2,194.32
  4. Step 4: Simplify right side
    2,778.93x = 9,153,929.54
  5. Step 5: Solve for x
    x = 9,153,929.54/2,778.93
  6. Step 6: Final answer
    x = 3,294.05

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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.