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Finding the Fourth Proportional to 2,361.05, 3,540.22 and 2,094.56

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Solution

The fourth proportional to 2,361.05, 3,540.22 and 2,094.56 is: 3,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.05 : 3,540.22 = 2,094.56 : x
  2. Step 2: Convert to fraction form
    2,361.05/3,540.22 = 2,094.56/x
  3. Step 3: Cross multiply
    2,361.05x = 3,540.22 × 2,094.56
  4. Step 4: Simplify right side
    2,361.05x = 7,415,203.20
  5. Step 5: Solve for x
    x = 7,415,203.20/2,361.05
  6. Step 6: Final answer
    x = 3,140.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.