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Finding the Fourth Proportional to 2,197.96, 3,033.19 and 1,203.24

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Solution

The fourth proportional to 2,197.96, 3,033.19 and 1,203.24 is: 1,660.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.96 : 3,033.19 = 1,203.24 : x
  2. Step 2: Convert to fraction form
    2,197.96/3,033.19 = 1,203.24/x
  3. Step 3: Cross multiply
    2,197.96x = 3,033.19 × 1,203.24
  4. Step 4: Simplify right side
    2,197.96x = 3,649,655.54
  5. Step 5: Solve for x
    x = 3,649,655.54/2,197.96
  6. Step 6: Final answer
    x = 1,660.47

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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.