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Finding the Fourth Proportional to 2,813.61, 3,884.27 and 1,819.46

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Solution

The fourth proportional to 2,813.61, 3,884.27 and 1,819.46 is: 2,511.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.61 : 3,884.27 = 1,819.46 : x
  2. Step 2: Convert to fraction form
    2,813.61/3,884.27 = 1,819.46/x
  3. Step 3: Cross multiply
    2,813.61x = 3,884.27 × 1,819.46
  4. Step 4: Simplify right side
    2,813.61x = 7,067,273.89
  5. Step 5: Solve for x
    x = 7,067,273.89/2,813.61
  6. Step 6: Final answer
    x = 2,511.82

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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.