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Finding the Fourth Proportional to 2,866.82, 3,952.50 and 1,856.73

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Solution

The fourth proportional to 2,866.82, 3,952.50 and 1,856.73 is: 2,559.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.82 : 3,952.50 = 1,856.73 : x
  2. Step 2: Convert to fraction form
    2,866.82/3,952.50 = 1,856.73/x
  3. Step 3: Cross multiply
    2,866.82x = 3,952.50 × 1,856.73
  4. Step 4: Simplify right side
    2,866.82x = 7,338,725.33
  5. Step 5: Solve for x
    x = 7,338,725.33/2,866.82
  6. Step 6: Final answer
    x = 2,559.88

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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.