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Finding the Fourth Proportional to 7,183.80, 10,774.89 and 1,989

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Solution

The fourth proportional to 7,183.80, 10,774.89 and 1,989 is: 2,983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.80 : 10,774.89 = 1,989 : x
  2. Step 2: Convert to fraction form
    7,183.80/10,774.89 = 1,989/x
  3. Step 3: Cross multiply
    7,183.80x = 10,774.89 × 1,989
  4. Step 4: Simplify right side
    7,183.80x = 21,431,256.21
  5. Step 5: Solve for x
    x = 21,431,256.21/7,183.80
  6. Step 6: Final answer
    x = 2,983.28

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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.