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Finding the Fourth Proportional to 2,874.08, 4,310.81 and 1,778.15

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Solution

The fourth proportional to 2,874.08, 4,310.81 and 1,778.15 is: 2,667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.08 : 4,310.81 = 1,778.15 : x
  2. Step 2: Convert to fraction form
    2,874.08/4,310.81 = 1,778.15/x
  3. Step 3: Cross multiply
    2,874.08x = 4,310.81 × 1,778.15
  4. Step 4: Simplify right side
    2,874.08x = 7,665,245.25
  5. Step 5: Solve for x
    x = 7,665,245.25/2,874.08
  6. Step 6: Final answer
    x = 2,667.03

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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.