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Finding the Fourth Proportional to 2,087.26, 3,131.04 and 788.68

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Solution

The fourth proportional to 2,087.26, 3,131.04 and 788.68 is: 1,183.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.26 : 3,131.04 = 788.68 : x
  2. Step 2: Convert to fraction form
    2,087.26/3,131.04 = 788.68/x
  3. Step 3: Cross multiply
    2,087.26x = 3,131.04 × 788.68
  4. Step 4: Simplify right side
    2,087.26x = 2,469,388.63
  5. Step 5: Solve for x
    x = 2,469,388.63/2,087.26
  6. Step 6: Final answer
    x = 1,183.08

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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.