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Finding the Fourth Proportional to 2,663.89, 3,995.69 and 815.02

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Solution

The fourth proportional to 2,663.89, 3,995.69 and 815.02 is: 1,222.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.89 : 3,995.69 = 815.02 : x
  2. Step 2: Convert to fraction form
    2,663.89/3,995.69 = 815.02/x
  3. Step 3: Cross multiply
    2,663.89x = 3,995.69 × 815.02
  4. Step 4: Simplify right side
    2,663.89x = 3,256,553.20
  5. Step 5: Solve for x
    x = 3,256,553.20/2,663.89
  6. Step 6: Final answer
    x = 1,222.48

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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.