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Finding the Fourth Proportional to 3,197.28, 4,792.76 and 1,348.88

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Solution

The fourth proportional to 3,197.28, 4,792.76 and 1,348.88 is: 2,021.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.28 : 4,792.76 = 1,348.88 : x
  2. Step 2: Convert to fraction form
    3,197.28/4,792.76 = 1,348.88/x
  3. Step 3: Cross multiply
    3,197.28x = 4,792.76 × 1,348.88
  4. Step 4: Simplify right side
    3,197.28x = 6,464,858.11
  5. Step 5: Solve for x
    x = 6,464,858.11/3,197.28
  6. Step 6: Final answer
    x = 2,021.99

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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.