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Finding the Fourth Proportional to 2,806.22, 4,211.17 and 1,074.85

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Solution

The fourth proportional to 2,806.22, 4,211.17 and 1,074.85 is: 1,612.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.22 : 4,211.17 = 1,074.85 : x
  2. Step 2: Convert to fraction form
    2,806.22/4,211.17 = 1,074.85/x
  3. Step 3: Cross multiply
    2,806.22x = 4,211.17 × 1,074.85
  4. Step 4: Simplify right side
    2,806.22x = 4,526,362.86
  5. Step 5: Solve for x
    x = 4,526,362.86/2,806.22
  6. Step 6: Final answer
    x = 1,612.97

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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.