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Finding the Fourth Proportional to 2,770.80, 4,156.20 and 1,993.20

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Solution

The fourth proportional to 2,770.80, 4,156.20 and 1,993.20 is: 2,989.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.80 : 4,156.20 = 1,993.20 : x
  2. Step 2: Convert to fraction form
    2,770.80/4,156.20 = 1,993.20/x
  3. Step 3: Cross multiply
    2,770.80x = 4,156.20 × 1,993.20
  4. Step 4: Simplify right side
    2,770.80x = 8,284,137.84
  5. Step 5: Solve for x
    x = 8,284,137.84/2,770.80
  6. Step 6: Final answer
    x = 2,989.80

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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.