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Finding the Fourth Proportional to 1,999.82, 2,757.30 and 1,644.50

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Solution

The fourth proportional to 1,999.82, 2,757.30 and 1,644.50 is: 2,267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.82 : 2,757.30 = 1,644.50 : x
  2. Step 2: Convert to fraction form
    1,999.82/2,757.30 = 1,644.50/x
  3. Step 3: Cross multiply
    1,999.82x = 2,757.30 × 1,644.50
  4. Step 4: Simplify right side
    1,999.82x = 4,534,379.85
  5. Step 5: Solve for x
    x = 4,534,379.85/1,999.82
  6. Step 6: Final answer
    x = 2,267.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.