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Finding the Fourth Proportional to 1,990.31, 2,745.97 and 1,204.07

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Solution

The fourth proportional to 1,990.31, 2,745.97 and 1,204.07 is: 1,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.31 : 2,745.97 = 1,204.07 : x
  2. Step 2: Convert to fraction form
    1,990.31/2,745.97 = 1,204.07/x
  3. Step 3: Cross multiply
    1,990.31x = 2,745.97 × 1,204.07
  4. Step 4: Simplify right side
    1,990.31x = 3,306,323.36
  5. Step 5: Solve for x
    x = 3,306,323.36/1,990.31
  6. Step 6: Final answer
    x = 1,661.21

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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.