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Finding the Fourth Proportional to 2,121.05, 3,181.05 and 734.43

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Solution

The fourth proportional to 2,121.05, 3,181.05 and 734.43 is: 1,101.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.05 : 3,181.05 = 734.43 : x
  2. Step 2: Convert to fraction form
    2,121.05/3,181.05 = 734.43/x
  3. Step 3: Cross multiply
    2,121.05x = 3,181.05 × 734.43
  4. Step 4: Simplify right side
    2,121.05x = 2,336,258.55
  5. Step 5: Solve for x
    x = 2,336,258.55/2,121.05
  6. Step 6: Final answer
    x = 1,101.46

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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.