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Finding the Fourth Proportional to 2,660.94, 3,991.05 and 713.31

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Solution

The fourth proportional to 2,660.94, 3,991.05 and 713.31 is: 1,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.94 : 3,991.05 = 713.31 : x
  2. Step 2: Convert to fraction form
    2,660.94/3,991.05 = 713.31/x
  3. Step 3: Cross multiply
    2,660.94x = 3,991.05 × 713.31
  4. Step 4: Simplify right side
    2,660.94x = 2,846,855.88
  5. Step 5: Solve for x
    x = 2,846,855.88/2,660.94
  6. Step 6: Final answer
    x = 1,069.87

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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.