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Finding the Fourth Proportional to 1,998.12, 3,001.50 and 1,690.59

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Solution

The fourth proportional to 1,998.12, 3,001.50 and 1,690.59 is: 2,539.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.12 : 3,001.50 = 1,690.59 : x
  2. Step 2: Convert to fraction form
    1,998.12/3,001.50 = 1,690.59/x
  3. Step 3: Cross multiply
    1,998.12x = 3,001.50 × 1,690.59
  4. Step 4: Simplify right side
    1,998.12x = 5,074,305.89
  5. Step 5: Solve for x
    x = 5,074,305.89/1,998.12
  6. Step 6: Final answer
    x = 2,539.54

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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.