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Finding the Fourth Proportional to 3,104.88, 4,284.42 and 1,760.55

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Solution

The fourth proportional to 3,104.88, 4,284.42 and 1,760.55 is: 2,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.88 : 4,284.42 = 1,760.55 : x
  2. Step 2: Convert to fraction form
    3,104.88/4,284.42 = 1,760.55/x
  3. Step 3: Cross multiply
    3,104.88x = 4,284.42 × 1,760.55
  4. Step 4: Simplify right side
    3,104.88x = 7,542,935.63
  5. Step 5: Solve for x
    x = 7,542,935.63/3,104.88
  6. Step 6: Final answer
    x = 2,429.38

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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.