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Finding the Fourth Proportional to 2,010.44, 3,012.42 and 1,189.46

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Solution

The fourth proportional to 2,010.44, 3,012.42 and 1,189.46 is: 1,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.44 : 3,012.42 = 1,189.46 : x
  2. Step 2: Convert to fraction form
    2,010.44/3,012.42 = 1,189.46/x
  3. Step 3: Cross multiply
    2,010.44x = 3,012.42 × 1,189.46
  4. Step 4: Simplify right side
    2,010.44x = 3,583,153.09
  5. Step 5: Solve for x
    x = 3,583,153.09/2,010.44
  6. Step 6: Final answer
    x = 1,782.27

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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.