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Finding the Fourth Proportional to 3,166.25, 4,369.19 and 1,749.83

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Solution

The fourth proportional to 3,166.25, 4,369.19 and 1,749.83 is: 2,414.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.25 : 4,369.19 = 1,749.83 : x
  2. Step 2: Convert to fraction form
    3,166.25/4,369.19 = 1,749.83/x
  3. Step 3: Cross multiply
    3,166.25x = 4,369.19 × 1,749.83
  4. Step 4: Simplify right side
    3,166.25x = 7,645,309.14
  5. Step 5: Solve for x
    x = 7,645,309.14/3,166.25
  6. Step 6: Final answer
    x = 2,414.63

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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.