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Finding the Fourth Proportional to 2,023.00, 3,034.46 and 982.82

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Solution

The fourth proportional to 2,023.00, 3,034.46 and 982.82 is: 1,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.00 : 3,034.46 = 982.82 : x
  2. Step 2: Convert to fraction form
    2,023.00/3,034.46 = 982.82/x
  3. Step 3: Cross multiply
    2,023.00x = 3,034.46 × 982.82
  4. Step 4: Simplify right side
    2,023.00x = 2,982,338.02
  5. Step 5: Solve for x
    x = 2,982,338.02/2,023.00
  6. Step 6: Final answer
    x = 1,474.22

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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.