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Finding the Fourth Proportional to 1,906.26, 2,629.86 and 1,159.62

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Solution

The fourth proportional to 1,906.26, 2,629.86 and 1,159.62 is: 1,599.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.26 : 2,629.86 = 1,159.62 : x
  2. Step 2: Convert to fraction form
    1,906.26/2,629.86 = 1,159.62/x
  3. Step 3: Cross multiply
    1,906.26x = 2,629.86 × 1,159.62
  4. Step 4: Simplify right side
    1,906.26x = 3,049,619.31
  5. Step 5: Solve for x
    x = 3,049,619.31/1,906.26
  6. Step 6: Final answer
    x = 1,599.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.