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Finding the Fourth Proportional to 2,039.78, 2,793.81 and 1,920.10

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Solution

The fourth proportional to 2,039.78, 2,793.81 and 1,920.10 is: 2,629.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.78 : 2,793.81 = 1,920.10 : x
  2. Step 2: Convert to fraction form
    2,039.78/2,793.81 = 1,920.10/x
  3. Step 3: Cross multiply
    2,039.78x = 2,793.81 × 1,920.10
  4. Step 4: Simplify right side
    2,039.78x = 5,364,371.01
  5. Step 5: Solve for x
    x = 5,364,371.01/2,039.78
  6. Step 6: Final answer
    x = 2,629.88

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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.