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Finding the Fourth Proportional to 2,663.31, 3,992.06 and 1,364.85

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Solution

The fourth proportional to 2,663.31, 3,992.06 and 1,364.85 is: 2,045.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.31 : 3,992.06 = 1,364.85 : x
  2. Step 2: Convert to fraction form
    2,663.31/3,992.06 = 1,364.85/x
  3. Step 3: Cross multiply
    2,663.31x = 3,992.06 × 1,364.85
  4. Step 4: Simplify right side
    2,663.31x = 5,448,556.27
  5. Step 5: Solve for x
    x = 5,448,556.27/2,663.31
  6. Step 6: Final answer
    x = 2,045.78

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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.