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Finding the Fourth Proportional to 3,310.86, 4,568.87 and 1,984.69

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Solution

The fourth proportional to 3,310.86, 4,568.87 and 1,984.69 is: 2,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.86 : 4,568.87 = 1,984.69 : x
  2. Step 2: Convert to fraction form
    3,310.86/4,568.87 = 1,984.69/x
  3. Step 3: Cross multiply
    3,310.86x = 4,568.87 × 1,984.69
  4. Step 4: Simplify right side
    3,310.86x = 9,067,790.60
  5. Step 5: Solve for x
    x = 9,067,790.60/3,310.86
  6. Step 6: Final answer
    x = 2,738.80

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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.