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Finding the Fourth Proportional to 2,197.70, 3,299.14 and 1,735.80

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Solution

The fourth proportional to 2,197.70, 3,299.14 and 1,735.80 is: 2,605.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.70 : 3,299.14 = 1,735.80 : x
  2. Step 2: Convert to fraction form
    2,197.70/3,299.14 = 1,735.80/x
  3. Step 3: Cross multiply
    2,197.70x = 3,299.14 × 1,735.80
  4. Step 4: Simplify right side
    2,197.70x = 5,726,647.21
  5. Step 5: Solve for x
    x = 5,726,647.21/2,197.70
  6. Step 6: Final answer
    x = 2,605.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.