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Finding the Fourth Proportional to 3,039.78, 4,194.90 and 1,642.54

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Solution

The fourth proportional to 3,039.78, 4,194.90 and 1,642.54 is: 2,266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.78 : 4,194.90 = 1,642.54 : x
  2. Step 2: Convert to fraction form
    3,039.78/4,194.90 = 1,642.54/x
  3. Step 3: Cross multiply
    3,039.78x = 4,194.90 × 1,642.54
  4. Step 4: Simplify right side
    3,039.78x = 6,890,291.05
  5. Step 5: Solve for x
    x = 6,890,291.05/3,039.78
  6. Step 6: Final answer
    x = 2,266.71

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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.