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Finding the Fourth Proportional to 1,999.75, 2,999.42 and 539.05

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Solution

The fourth proportional to 1,999.75, 2,999.42 and 539.05 is: 808.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.75 : 2,999.42 = 539.05 : x
  2. Step 2: Convert to fraction form
    1,999.75/2,999.42 = 539.05/x
  3. Step 3: Cross multiply
    1,999.75x = 2,999.42 × 539.05
  4. Step 4: Simplify right side
    1,999.75x = 1,616,843.12
  5. Step 5: Solve for x
    x = 1,616,843.12/1,999.75
  6. Step 6: Final answer
    x = 808.52

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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.