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Finding the Fourth Proportional to 2,120.91, 3,181.60 and 734.37

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Solution

The fourth proportional to 2,120.91, 3,181.60 and 734.37 is: 1,101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.91 : 3,181.60 = 734.37 : x
  2. Step 2: Convert to fraction form
    2,120.91/3,181.60 = 734.37/x
  3. Step 3: Cross multiply
    2,120.91x = 3,181.60 × 734.37
  4. Step 4: Simplify right side
    2,120.91x = 2,336,481.38
  5. Step 5: Solve for x
    x = 2,336,481.38/2,120.91
  6. Step 6: Final answer
    x = 1,101.64

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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.