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Finding the Fourth Proportional to 2,930.70, 4,396.27 and 982.90

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Solution

The fourth proportional to 2,930.70, 4,396.27 and 982.90 is: 1,474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.70 : 4,396.27 = 982.90 : x
  2. Step 2: Convert to fraction form
    2,930.70/4,396.27 = 982.90/x
  3. Step 3: Cross multiply
    2,930.70x = 4,396.27 × 982.90
  4. Step 4: Simplify right side
    2,930.70x = 4,321,093.78
  5. Step 5: Solve for x
    x = 4,321,093.78/2,930.70
  6. Step 6: Final answer
    x = 1,474.42

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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.