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Finding the Fourth Proportional to 1,736.26, 2,604.41 and 437.73

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Solution

The fourth proportional to 1,736.26, 2,604.41 and 437.73 is: 656.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.26 : 2,604.41 = 437.73 : x
  2. Step 2: Convert to fraction form
    1,736.26/2,604.41 = 437.73/x
  3. Step 3: Cross multiply
    1,736.26x = 2,604.41 × 437.73
  4. Step 4: Simplify right side
    1,736.26x = 1,140,028.39
  5. Step 5: Solve for x
    x = 1,140,028.39/1,736.26
  6. Step 6: Final answer
    x = 656.60

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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.