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Finding the Fourth Proportional to 3,192.80, 4,793.10 and 2,022.80

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Solution

The fourth proportional to 3,192.80, 4,793.10 and 2,022.80 is: 3,036.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.80 : 4,793.10 = 2,022.80 : x
  2. Step 2: Convert to fraction form
    3,192.80/4,793.10 = 2,022.80/x
  3. Step 3: Cross multiply
    3,192.80x = 4,793.10 × 2,022.80
  4. Step 4: Simplify right side
    3,192.80x = 9,695,482.68
  5. Step 5: Solve for x
    x = 9,695,482.68/3,192.80
  6. Step 6: Final answer
    x = 3,036.67

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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.