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Finding the Fourth Proportional to 2,813.53, 3,884.25 and 1,694.74

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Solution

The fourth proportional to 2,813.53, 3,884.25 and 1,694.74 is: 2,339.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.53 : 3,884.25 = 1,694.74 : x
  2. Step 2: Convert to fraction form
    2,813.53/3,884.25 = 1,694.74/x
  3. Step 3: Cross multiply
    2,813.53x = 3,884.25 × 1,694.74
  4. Step 4: Simplify right side
    2,813.53x = 6,582,793.85
  5. Step 5: Solve for x
    x = 6,582,793.85/2,813.53
  6. Step 6: Final answer
    x = 2,339.69

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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.