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Finding the Fourth Proportional to 2,079.92, 3,119 and 618.68

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Solution

The fourth proportional to 2,079.92, 3,119 and 618.68 is: 927.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.92 : 3,119 = 618.68 : x
  2. Step 2: Convert to fraction form
    2,079.92/3,119 = 618.68/x
  3. Step 3: Cross multiply
    2,079.92x = 3,119 × 618.68
  4. Step 4: Simplify right side
    2,079.92x = 1,929,662.92
  5. Step 5: Solve for x
    x = 1,929,662.92/2,079.92
  6. Step 6: Final answer
    x = 927.76

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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.