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Finding the Fourth Proportional to 2,842.26, 3,922.23 and 1,663.50

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Solution

The fourth proportional to 2,842.26, 3,922.23 and 1,663.50 is: 2,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.26 : 3,922.23 = 1,663.50 : x
  2. Step 2: Convert to fraction form
    2,842.26/3,922.23 = 1,663.50/x
  3. Step 3: Cross multiply
    2,842.26x = 3,922.23 × 1,663.50
  4. Step 4: Simplify right side
    2,842.26x = 6,524,629.61
  5. Step 5: Solve for x
    x = 6,524,629.61/2,842.26
  6. Step 6: Final answer
    x = 2,295.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.