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Finding the Fourth Proportional to 2,079.27, 3,119.38 and 618.46

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Solution

The fourth proportional to 2,079.27, 3,119.38 and 618.46 is: 927.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.27 : 3,119.38 = 618.46 : x
  2. Step 2: Convert to fraction form
    2,079.27/3,119.38 = 618.46/x
  3. Step 3: Cross multiply
    2,079.27x = 3,119.38 × 618.46
  4. Step 4: Simplify right side
    2,079.27x = 1,929,202.41
  5. Step 5: Solve for x
    x = 1,929,202.41/2,079.27
  6. Step 6: Final answer
    x = 927.83

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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.