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Finding the Fourth Proportional to 2,236.39, 3,086.11 and 1,241.64

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Solution

The fourth proportional to 2,236.39, 3,086.11 and 1,241.64 is: 1,713.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.39 : 3,086.11 = 1,241.64 : x
  2. Step 2: Convert to fraction form
    2,236.39/3,086.11 = 1,241.64/x
  3. Step 3: Cross multiply
    2,236.39x = 3,086.11 × 1,241.64
  4. Step 4: Simplify right side
    2,236.39x = 3,831,837.62
  5. Step 5: Solve for x
    x = 3,831,837.62/2,236.39
  6. Step 6: Final answer
    x = 1,713.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.