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Finding the Fourth Proportional to 3,146.49, 4,715.48 and 1,197.63

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Solution

The fourth proportional to 3,146.49, 4,715.48 and 1,197.63 is: 1,794.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.49 : 4,715.48 = 1,197.63 : x
  2. Step 2: Convert to fraction form
    3,146.49/4,715.48 = 1,197.63/x
  3. Step 3: Cross multiply
    3,146.49x = 4,715.48 × 1,197.63
  4. Step 4: Simplify right side
    3,146.49x = 5,647,400.31
  5. Step 5: Solve for x
    x = 5,647,400.31/3,146.49
  6. Step 6: Final answer
    x = 1,794.83

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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.