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Finding the Fourth Proportional to 1,267.93, 1,736.61 and 1,193.20

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Solution

The fourth proportional to 1,267.93, 1,736.61 and 1,193.20 is: 1,634.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.93 : 1,736.61 = 1,193.20 : x
  2. Step 2: Convert to fraction form
    1,267.93/1,736.61 = 1,193.20/x
  3. Step 3: Cross multiply
    1,267.93x = 1,736.61 × 1,193.20
  4. Step 4: Simplify right side
    1,267.93x = 2,072,123.05
  5. Step 5: Solve for x
    x = 2,072,123.05/1,267.93
  6. Step 6: Final answer
    x = 1,634.26

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.