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Finding the Fourth Proportional to 2,819.86, 4,233.90 and 2,081.75

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Solution

The fourth proportional to 2,819.86, 4,233.90 and 2,081.75 is: 3,125.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.86 : 4,233.90 = 2,081.75 : x
  2. Step 2: Convert to fraction form
    2,819.86/4,233.90 = 2,081.75/x
  3. Step 3: Cross multiply
    2,819.86x = 4,233.90 × 2,081.75
  4. Step 4: Simplify right side
    2,819.86x = 8,813,914.21
  5. Step 5: Solve for x
    x = 8,813,914.21/2,819.86
  6. Step 6: Final answer
    x = 3,125.65

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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.