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Finding the Fourth Proportional to 2,229.75, 3,074.58 and 1,836.09

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Solution

The fourth proportional to 2,229.75, 3,074.58 and 1,836.09 is: 2,531.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.75 : 3,074.58 = 1,836.09 : x
  2. Step 2: Convert to fraction form
    2,229.75/3,074.58 = 1,836.09/x
  3. Step 3: Cross multiply
    2,229.75x = 3,074.58 × 1,836.09
  4. Step 4: Simplify right side
    2,229.75x = 5,645,205.59
  5. Step 5: Solve for x
    x = 5,645,205.59/2,229.75
  6. Step 6: Final answer
    x = 2,531.77

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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.