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Finding the Fourth Proportional to 1,999.98, 2,996.32 and 1,474.19

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Solution

The fourth proportional to 1,999.98, 2,996.32 and 1,474.19 is: 2,208.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.98 : 2,996.32 = 1,474.19 : x
  2. Step 2: Convert to fraction form
    1,999.98/2,996.32 = 1,474.19/x
  3. Step 3: Cross multiply
    1,999.98x = 2,996.32 × 1,474.19
  4. Step 4: Simplify right side
    1,999.98x = 4,417,144.98
  5. Step 5: Solve for x
    x = 4,417,144.98/1,999.98
  6. Step 6: Final answer
    x = 2,208.59

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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.