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Finding the Fourth Proportional to 2,033.48, 2,806.24 and 1,193.98

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Solution

The fourth proportional to 2,033.48, 2,806.24 and 1,193.98 is: 1,647.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.48 : 2,806.24 = 1,193.98 : x
  2. Step 2: Convert to fraction form
    2,033.48/2,806.24 = 1,193.98/x
  3. Step 3: Cross multiply
    2,033.48x = 2,806.24 × 1,193.98
  4. Step 4: Simplify right side
    2,033.48x = 3,350,594.44
  5. Step 5: Solve for x
    x = 3,350,594.44/2,033.48
  6. Step 6: Final answer
    x = 1,647.71

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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.