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Finding the Fourth Proportional to 2,087.25, 3,129.66 and 699.83

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Solution

The fourth proportional to 2,087.25, 3,129.66 and 699.83 is: 1,049.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.25 : 3,129.66 = 699.83 : x
  2. Step 2: Convert to fraction form
    2,087.25/3,129.66 = 699.83/x
  3. Step 3: Cross multiply
    2,087.25x = 3,129.66 × 699.83
  4. Step 4: Simplify right side
    2,087.25x = 2,190,214.31
  5. Step 5: Solve for x
    x = 2,190,214.31/2,087.25
  6. Step 6: Final answer
    x = 1,049.33

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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.