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Finding the Fourth Proportional to 2,081.68, 3,119.76 and 1,105.68

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Solution

The fourth proportional to 2,081.68, 3,119.76 and 1,105.68 is: 1,657.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.68 : 3,119.76 = 1,105.68 : x
  2. Step 2: Convert to fraction form
    2,081.68/3,119.76 = 1,105.68/x
  3. Step 3: Cross multiply
    2,081.68x = 3,119.76 × 1,105.68
  4. Step 4: Simplify right side
    2,081.68x = 3,449,456.24
  5. Step 5: Solve for x
    x = 3,449,456.24/2,081.68
  6. Step 6: Final answer
    x = 1,657.05

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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.