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Finding the Fourth Proportional to 3,039.83, 4,194.22 and 2,029.54

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Solution

The fourth proportional to 3,039.83, 4,194.22 and 2,029.54 is: 2,800.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.83 : 4,194.22 = 2,029.54 : x
  2. Step 2: Convert to fraction form
    3,039.83/4,194.22 = 2,029.54/x
  3. Step 3: Cross multiply
    3,039.83x = 4,194.22 × 2,029.54
  4. Step 4: Simplify right side
    3,039.83x = 8,512,337.26
  5. Step 5: Solve for x
    x = 8,512,337.26/3,039.83
  6. Step 6: Final answer
    x = 2,800.27

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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.