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Finding the Fourth Proportional to 2,197.42, 3,032.50 and 1,202.74

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Solution

The fourth proportional to 2,197.42, 3,032.50 and 1,202.74 is: 1,659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.42 : 3,032.50 = 1,202.74 : x
  2. Step 2: Convert to fraction form
    2,197.42/3,032.50 = 1,202.74/x
  3. Step 3: Cross multiply
    2,197.42x = 3,032.50 × 1,202.74
  4. Step 4: Simplify right side
    2,197.42x = 3,647,309.05
  5. Step 5: Solve for x
    x = 3,647,309.05/2,197.42
  6. Step 6: Final answer
    x = 1,659.81

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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.