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Finding the Fourth Proportional to 2,067.42, 3,096.94 and 955.26

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Solution

The fourth proportional to 2,067.42, 3,096.94 and 955.26 is: 1,430.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.42 : 3,096.94 = 955.26 : x
  2. Step 2: Convert to fraction form
    2,067.42/3,096.94 = 955.26/x
  3. Step 3: Cross multiply
    2,067.42x = 3,096.94 × 955.26
  4. Step 4: Simplify right side
    2,067.42x = 2,958,367.42
  5. Step 5: Solve for x
    x = 2,958,367.42/2,067.42
  6. Step 6: Final answer
    x = 1,430.95

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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.