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Finding the Fourth Proportional to 2,449.73, 3,673.53 and 889.22

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Solution

The fourth proportional to 2,449.73, 3,673.53 and 889.22 is: 1,333.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.73 : 3,673.53 = 889.22 : x
  2. Step 2: Convert to fraction form
    2,449.73/3,673.53 = 889.22/x
  3. Step 3: Cross multiply
    2,449.73x = 3,673.53 × 889.22
  4. Step 4: Simplify right side
    2,449.73x = 3,266,576.35
  5. Step 5: Solve for x
    x = 3,266,576.35/2,449.73
  6. Step 6: Final answer
    x = 1,333.44

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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.