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Finding the Fourth Proportional to 2,322.82, 3,481.89 and 1,023.22

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Solution

The fourth proportional to 2,322.82, 3,481.89 and 1,023.22 is: 1,533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.82 : 3,481.89 = 1,023.22 : x
  2. Step 2: Convert to fraction form
    2,322.82/3,481.89 = 1,023.22/x
  3. Step 3: Cross multiply
    2,322.82x = 3,481.89 × 1,023.22
  4. Step 4: Simplify right side
    2,322.82x = 3,562,739.49
  5. Step 5: Solve for x
    x = 3,562,739.49/2,322.82
  6. Step 6: Final answer
    x = 1,533.80

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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.