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Finding the Fourth Proportional to 4,069, 6,103.59 and 1,760.50

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Solution

The fourth proportional to 4,069, 6,103.59 and 1,760.50 is: 2,640.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069 : 6,103.59 = 1,760.50 : x
  2. Step 2: Convert to fraction form
    4,069/6,103.59 = 1,760.50/x
  3. Step 3: Cross multiply
    4,069x = 6,103.59 × 1,760.50
  4. Step 4: Simplify right side
    4,069x = 10,745,370.20
  5. Step 5: Solve for x
    x = 10,745,370.20/4,069
  6. Step 6: Final answer
    x = 2,640.79

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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.