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Finding the Fourth Proportional to 1,601.75, 2,393.40 and 1,224.44

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Solution

The fourth proportional to 1,601.75, 2,393.40 and 1,224.44 is: 1,829.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.75 : 2,393.40 = 1,224.44 : x
  2. Step 2: Convert to fraction form
    1,601.75/2,393.40 = 1,224.44/x
  3. Step 3: Cross multiply
    1,601.75x = 2,393.40 × 1,224.44
  4. Step 4: Simplify right side
    1,601.75x = 2,930,562.73
  5. Step 5: Solve for x
    x = 2,930,562.73/1,601.75
  6. Step 6: Final answer
    x = 1,829.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.