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Finding the Fourth Proportional to 1,991.36, 2,738.94 and 1,597.52

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Solution

The fourth proportional to 1,991.36, 2,738.94 and 1,597.52 is: 2,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.36 : 2,738.94 = 1,597.52 : x
  2. Step 2: Convert to fraction form
    1,991.36/2,738.94 = 1,597.52/x
  3. Step 3: Cross multiply
    1,991.36x = 2,738.94 × 1,597.52
  4. Step 4: Simplify right side
    1,991.36x = 4,375,511.43
  5. Step 5: Solve for x
    x = 4,375,511.43/1,991.36
  6. Step 6: Final answer
    x = 2,197.25

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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.