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Finding the Fourth Proportional to 3,163.54, 4,744.14 and 1,847.74

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Solution

The fourth proportional to 3,163.54, 4,744.14 and 1,847.74 is: 2,770.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.54 : 4,744.14 = 1,847.74 : x
  2. Step 2: Convert to fraction form
    3,163.54/4,744.14 = 1,847.74/x
  3. Step 3: Cross multiply
    3,163.54x = 4,744.14 × 1,847.74
  4. Step 4: Simplify right side
    3,163.54x = 8,765,918.45
  5. Step 5: Solve for x
    x = 8,765,918.45/3,163.54
  6. Step 6: Final answer
    x = 2,770.92

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1.5x scale

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.