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Finding the Fourth Proportional to 2,181.70, 3,266.79 and 2,001.25

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Solution

The fourth proportional to 2,181.70, 3,266.79 and 2,001.25 is: 2,996.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.70 : 3,266.79 = 2,001.25 : x
  2. Step 2: Convert to fraction form
    2,181.70/3,266.79 = 2,001.25/x
  3. Step 3: Cross multiply
    2,181.70x = 3,266.79 × 2,001.25
  4. Step 4: Simplify right side
    2,181.70x = 6,537,663.49
  5. Step 5: Solve for x
    x = 6,537,663.49/2,181.70
  6. Step 6: Final answer
    x = 2,996.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.