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Finding the Fourth Proportional to 2,663.24, 3,996.08 and 1,020.56

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Solution

The fourth proportional to 2,663.24, 3,996.08 and 1,020.56 is: 1,531.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.24 : 3,996.08 = 1,020.56 : x
  2. Step 2: Convert to fraction form
    2,663.24/3,996.08 = 1,020.56/x
  3. Step 3: Cross multiply
    2,663.24x = 3,996.08 × 1,020.56
  4. Step 4: Simplify right side
    2,663.24x = 4,078,239.40
  5. Step 5: Solve for x
    x = 4,078,239.40/2,663.24
  6. Step 6: Final answer
    x = 1,531.31

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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.