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Finding the Fourth Proportional to 1,518.92, 2,096.37 and 1,449.66

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Solution

The fourth proportional to 1,518.92, 2,096.37 and 1,449.66 is: 2,000.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.92 : 2,096.37 = 1,449.66 : x
  2. Step 2: Convert to fraction form
    1,518.92/2,096.37 = 1,449.66/x
  3. Step 3: Cross multiply
    1,518.92x = 2,096.37 × 1,449.66
  4. Step 4: Simplify right side
    1,518.92x = 3,039,023.73
  5. Step 5: Solve for x
    x = 3,039,023.73/1,518.92
  6. Step 6: Final answer
    x = 2,000.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.