Home / 1,983.54-2,974.38-1,162.06

Finding the Fourth Proportional to 1,983.54, 2,974.38 and 1,162.06

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Solution

The fourth proportional to 1,983.54, 2,974.38 and 1,162.06 is: 1,742.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.54 : 2,974.38 = 1,162.06 : x
  2. Step 2: Convert to fraction form
    1,983.54/2,974.38 = 1,162.06/x
  3. Step 3: Cross multiply
    1,983.54x = 2,974.38 × 1,162.06
  4. Step 4: Simplify right side
    1,983.54x = 3,456,408.02
  5. Step 5: Solve for x
    x = 3,456,408.02/1,983.54
  6. Step 6: Final answer
    x = 1,742.55

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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.