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Finding the Fourth Proportional to 1,229.55, 1,846.14 and 1,193.10

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Solution

The fourth proportional to 1,229.55, 1,846.14 and 1,193.10 is: 1,791.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.55 : 1,846.14 = 1,193.10 : x
  2. Step 2: Convert to fraction form
    1,229.55/1,846.14 = 1,193.10/x
  3. Step 3: Cross multiply
    1,229.55x = 1,846.14 × 1,193.10
  4. Step 4: Simplify right side
    1,229.55x = 2,202,629.63
  5. Step 5: Solve for x
    x = 2,202,629.63/1,229.55
  6. Step 6: Final answer
    x = 1,791.41

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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.