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Finding the Fourth Proportional to 2,859.82, 4,290.60 and 1,216.33

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Solution

The fourth proportional to 2,859.82, 4,290.60 and 1,216.33 is: 1,824.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.82 : 4,290.60 = 1,216.33 : x
  2. Step 2: Convert to fraction form
    2,859.82/4,290.60 = 1,216.33/x
  3. Step 3: Cross multiply
    2,859.82x = 4,290.60 × 1,216.33
  4. Step 4: Simplify right side
    2,859.82x = 5,218,764.05
  5. Step 5: Solve for x
    x = 5,218,764.05/2,859.82
  6. Step 6: Final answer
    x = 1,824.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.