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Finding the Fourth Proportional to 3,001.97, 4,144.62 and 2,059.34

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Solution

The fourth proportional to 3,001.97, 4,144.62 and 2,059.34 is: 2,843.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.97 : 4,144.62 = 2,059.34 : x
  2. Step 2: Convert to fraction form
    3,001.97/4,144.62 = 2,059.34/x
  3. Step 3: Cross multiply
    3,001.97x = 4,144.62 × 2,059.34
  4. Step 4: Simplify right side
    3,001.97x = 8,535,181.75
  5. Step 5: Solve for x
    x = 8,535,181.75/3,001.97
  6. Step 6: Final answer
    x = 2,843.19

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