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Finding the Fourth Proportional to 3,089.80, 4,627.26 and 1,769.54

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Solution

The fourth proportional to 3,089.80, 4,627.26 and 1,769.54 is: 2,650.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.80 : 4,627.26 = 1,769.54 : x
  2. Step 2: Convert to fraction form
    3,089.80/4,627.26 = 1,769.54/x
  3. Step 3: Cross multiply
    3,089.80x = 4,627.26 × 1,769.54
  4. Step 4: Simplify right side
    3,089.80x = 8,188,121.66
  5. Step 5: Solve for x
    x = 8,188,121.66/3,089.80
  6. Step 6: Final answer
    x = 2,650.05

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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.