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Finding the Fourth Proportional to 2,060.77, 3,093.21 and 965.92

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Solution

The fourth proportional to 2,060.77, 3,093.21 and 965.92 is: 1,449.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.77 : 3,093.21 = 965.92 : x
  2. Step 2: Convert to fraction form
    2,060.77/3,093.21 = 965.92/x
  3. Step 3: Cross multiply
    2,060.77x = 3,093.21 × 965.92
  4. Step 4: Simplify right side
    2,060.77x = 2,987,793.40
  5. Step 5: Solve for x
    x = 2,987,793.40/2,060.77
  6. Step 6: Final answer
    x = 1,449.84

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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.