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Finding the Fourth Proportional to 2,000.11, 2,999.95 and 539.41

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Solution

The fourth proportional to 2,000.11, 2,999.95 and 539.41 is: 809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.11 : 2,999.95 = 539.41 : x
  2. Step 2: Convert to fraction form
    2,000.11/2,999.95 = 539.41/x
  3. Step 3: Cross multiply
    2,000.11x = 2,999.95 × 539.41
  4. Step 4: Simplify right side
    2,000.11x = 1,618,203.03
  5. Step 5: Solve for x
    x = 1,618,203.03/2,000.11
  6. Step 6: Final answer
    x = 809.06

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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.