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Finding the Fourth Proportional to 2,712.71, 4,067.57 and 957.56

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Solution

The fourth proportional to 2,712.71, 4,067.57 and 957.56 is: 1,435.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.71 : 4,067.57 = 957.56 : x
  2. Step 2: Convert to fraction form
    2,712.71/4,067.57 = 957.56/x
  3. Step 3: Cross multiply
    2,712.71x = 4,067.57 × 957.56
  4. Step 4: Simplify right side
    2,712.71x = 3,894,942.33
  5. Step 5: Solve for x
    x = 3,894,942.33/2,712.71
  6. Step 6: Final answer
    x = 1,435.81

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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.