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Finding the Fourth Proportional to 2,938.84, 4,408.22 and 1,183.96

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Solution

The fourth proportional to 2,938.84, 4,408.22 and 1,183.96 is: 1,775.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.84 : 4,408.22 = 1,183.96 : x
  2. Step 2: Convert to fraction form
    2,938.84/4,408.22 = 1,183.96/x
  3. Step 3: Cross multiply
    2,938.84x = 4,408.22 × 1,183.96
  4. Step 4: Simplify right side
    2,938.84x = 5,219,156.15
  5. Step 5: Solve for x
    x = 5,219,156.15/2,938.84
  6. Step 6: Final answer
    x = 1,775.92

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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.