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Finding the Fourth Proportional to 2,197.46, 3,296.75 and 1,549.46

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Solution

The fourth proportional to 2,197.46, 3,296.75 and 1,549.46 is: 2,324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.46 : 3,296.75 = 1,549.46 : x
  2. Step 2: Convert to fraction form
    2,197.46/3,296.75 = 1,549.46/x
  3. Step 3: Cross multiply
    2,197.46x = 3,296.75 × 1,549.46
  4. Step 4: Simplify right side
    2,197.46x = 5,108,182.75
  5. Step 5: Solve for x
    x = 5,108,182.75/2,197.46
  6. Step 6: Final answer
    x = 2,324.58

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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.