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Finding the Fourth Proportional to 3,190.40, 4,780.20 and 2,094.20

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Solution

The fourth proportional to 3,190.40, 4,780.20 and 2,094.20 is: 3,137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.40 : 4,780.20 = 2,094.20 : x
  2. Step 2: Convert to fraction form
    3,190.40/4,780.20 = 2,094.20/x
  3. Step 3: Cross multiply
    3,190.40x = 4,780.20 × 2,094.20
  4. Step 4: Simplify right side
    3,190.40x = 10,010,694.84
  5. Step 5: Solve for x
    x = 10,010,694.84/3,190.40
  6. Step 6: Final answer
    x = 3,137.76

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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.