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Finding the Fourth Proportional to 2,039.28, 2,793.12 and 1,919.60

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Solution

The fourth proportional to 2,039.28, 2,793.12 and 1,919.60 is: 2,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.28 : 2,793.12 = 1,919.60 : x
  2. Step 2: Convert to fraction form
    2,039.28/2,793.12 = 1,919.60/x
  3. Step 3: Cross multiply
    2,039.28x = 2,793.12 × 1,919.60
  4. Step 4: Simplify right side
    2,039.28x = 5,361,659.19
  5. Step 5: Solve for x
    x = 5,361,659.19/2,039.28
  6. Step 6: Final answer
    x = 2,629.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.