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Finding the Fourth Proportional to 2,000.23, 3,000.49 and 539.37

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Solution

The fourth proportional to 2,000.23, 3,000.49 and 539.37 is: 809.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.23 : 3,000.49 = 539.37 : x
  2. Step 2: Convert to fraction form
    2,000.23/3,000.49 = 539.37/x
  3. Step 3: Cross multiply
    2,000.23x = 3,000.49 × 539.37
  4. Step 4: Simplify right side
    2,000.23x = 1,618,367.54
  5. Step 5: Solve for x
    x = 1,618,367.54/2,000.23
  6. Step 6: Final answer
    x = 809.09

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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.