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Finding the Fourth Proportional to 3,449.94, 4,760.82 and 2,033.66

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Solution

The fourth proportional to 3,449.94, 4,760.82 and 2,033.66 is: 2,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.94 : 4,760.82 = 2,033.66 : x
  2. Step 2: Convert to fraction form
    3,449.94/4,760.82 = 2,033.66/x
  3. Step 3: Cross multiply
    3,449.94x = 4,760.82 × 2,033.66
  4. Step 4: Simplify right side
    3,449.94x = 9,681,865.40
  5. Step 5: Solve for x
    x = 9,681,865.40/3,449.94
  6. Step 6: Final answer
    x = 2,806.39

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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.