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Finding the Fourth Proportional to 2,665.17, 3,997.08 and 1,021.23

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Solution

The fourth proportional to 2,665.17, 3,997.08 and 1,021.23 is: 1,531.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.17 : 3,997.08 = 1,021.23 : x
  2. Step 2: Convert to fraction form
    2,665.17/3,997.08 = 1,021.23/x
  3. Step 3: Cross multiply
    2,665.17x = 3,997.08 × 1,021.23
  4. Step 4: Simplify right side
    2,665.17x = 4,081,938.01
  5. Step 5: Solve for x
    x = 4,081,938.01/2,665.17
  6. Step 6: Final answer
    x = 1,531.59

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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.