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Finding the Fourth Proportional to 2,174.44, 3,262.23 and 1,003.48

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Solution

The fourth proportional to 2,174.44, 3,262.23 and 1,003.48 is: 1,505.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.44 : 3,262.23 = 1,003.48 : x
  2. Step 2: Convert to fraction form
    2,174.44/3,262.23 = 1,003.48/x
  3. Step 3: Cross multiply
    2,174.44x = 3,262.23 × 1,003.48
  4. Step 4: Simplify right side
    2,174.44x = 3,273,582.56
  5. Step 5: Solve for x
    x = 3,273,582.56/2,174.44
  6. Step 6: Final answer
    x = 1,505.48

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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.