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Finding the Fourth Proportional to 2,138.36, 3,213.17 and 1,151.90

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Solution

The fourth proportional to 2,138.36, 3,213.17 and 1,151.90 is: 1,730.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.36 : 3,213.17 = 1,151.90 : x
  2. Step 2: Convert to fraction form
    2,138.36/3,213.17 = 1,151.90/x
  3. Step 3: Cross multiply
    2,138.36x = 3,213.17 × 1,151.90
  4. Step 4: Simplify right side
    2,138.36x = 3,701,245.07
  5. Step 5: Solve for x
    x = 3,701,245.07/2,138.36
  6. Step 6: Final answer
    x = 1,730.88

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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.