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Finding the Fourth Proportional to 2,002.88, 2,764.38 and 1,163.76

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Solution

The fourth proportional to 2,002.88, 2,764.38 and 1,163.76 is: 1,606.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.88 : 2,764.38 = 1,163.76 : x
  2. Step 2: Convert to fraction form
    2,002.88/2,764.38 = 1,163.76/x
  3. Step 3: Cross multiply
    2,002.88x = 2,764.38 × 1,163.76
  4. Step 4: Simplify right side
    2,002.88x = 3,217,074.87
  5. Step 5: Solve for x
    x = 3,217,074.87/2,002.88
  6. Step 6: Final answer
    x = 1,606.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.