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Finding the Fourth Proportional to 2,034.50, 2,806.97 and 1,195.25

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Solution

The fourth proportional to 2,034.50, 2,806.97 and 1,195.25 is: 1,649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.50 : 2,806.97 = 1,195.25 : x
  2. Step 2: Convert to fraction form
    2,034.50/2,806.97 = 1,195.25/x
  3. Step 3: Cross multiply
    2,034.50x = 2,806.97 × 1,195.25
  4. Step 4: Simplify right side
    2,034.50x = 3,355,010.88
  5. Step 5: Solve for x
    x = 3,355,010.88/2,034.50
  6. Step 6: Final answer
    x = 1,649.06

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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.