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Finding the Fourth Proportional to 2,197.54, 3,032.60 and 1,202.82

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Solution

The fourth proportional to 2,197.54, 3,032.60 and 1,202.82 is: 1,659.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.54 : 3,032.60 = 1,202.82 : x
  2. Step 2: Convert to fraction form
    2,197.54/3,032.60 = 1,202.82/x
  3. Step 3: Cross multiply
    2,197.54x = 3,032.60 × 1,202.82
  4. Step 4: Simplify right side
    2,197.54x = 3,647,661.31
  5. Step 5: Solve for x
    x = 3,647,661.31/2,197.54
  6. Step 6: Final answer
    x = 1,659.88

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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.