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Finding the Fourth Proportional to 2,074.92, 3,110.55 and 1,086.67

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Solution

The fourth proportional to 2,074.92, 3,110.55 and 1,086.67 is: 1,629.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.92 : 3,110.55 = 1,086.67 : x
  2. Step 2: Convert to fraction form
    2,074.92/3,110.55 = 1,086.67/x
  3. Step 3: Cross multiply
    2,074.92x = 3,110.55 × 1,086.67
  4. Step 4: Simplify right side
    2,074.92x = 3,380,129.80
  5. Step 5: Solve for x
    x = 3,380,129.80/2,074.92
  6. Step 6: Final answer
    x = 1,629.04

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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.