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Finding the Fourth Proportional to 2,825.87, 3,896.15 and 1,815.78

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Solution

The fourth proportional to 2,825.87, 3,896.15 and 1,815.78 is: 2,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.87 : 3,896.15 = 1,815.78 : x
  2. Step 2: Convert to fraction form
    2,825.87/3,896.15 = 1,815.78/x
  3. Step 3: Cross multiply
    2,825.87x = 3,896.15 × 1,815.78
  4. Step 4: Simplify right side
    2,825.87x = 7,074,542.17
  5. Step 5: Solve for x
    x = 7,074,542.17/2,825.87
  6. Step 6: Final answer
    x = 2,503.50

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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.