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Finding the Fourth Proportional to 2,842.37, 3,921.90 and 1,663.22

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Solution

The fourth proportional to 2,842.37, 3,921.90 and 1,663.22 is: 2,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.37 : 3,921.90 = 1,663.22 : x
  2. Step 2: Convert to fraction form
    2,842.37/3,921.90 = 1,663.22/x
  3. Step 3: Cross multiply
    2,842.37x = 3,921.90 × 1,663.22
  4. Step 4: Simplify right side
    2,842.37x = 6,522,982.52
  5. Step 5: Solve for x
    x = 6,522,982.52/2,842.37
  6. Step 6: Final answer
    x = 2,294.91

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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.