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Finding the Fourth Proportional to 2,197.41, 3,032.42 and 1,202.70

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Solution

The fourth proportional to 2,197.41, 3,032.42 and 1,202.70 is: 1,659.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.41 : 3,032.42 = 1,202.70 : x
  2. Step 2: Convert to fraction form
    2,197.41/3,032.42 = 1,202.70/x
  3. Step 3: Cross multiply
    2,197.41x = 3,032.42 × 1,202.70
  4. Step 4: Simplify right side
    2,197.41x = 3,647,085.52
  5. Step 5: Solve for x
    x = 3,647,085.52/2,197.41
  6. Step 6: Final answer
    x = 1,659.72

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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.