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Finding the Fourth Proportional to 3,166.44, 4,743.55 and 1,775.55

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Solution

The fourth proportional to 3,166.44, 4,743.55 and 1,775.55 is: 2,659.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.44 : 4,743.55 = 1,775.55 : x
  2. Step 2: Convert to fraction form
    3,166.44/4,743.55 = 1,775.55/x
  3. Step 3: Cross multiply
    3,166.44x = 4,743.55 × 1,775.55
  4. Step 4: Simplify right side
    3,166.44x = 8,422,410.20
  5. Step 5: Solve for x
    x = 8,422,410.20/3,166.44
  6. Step 6: Final answer
    x = 2,659.90

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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.