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Finding the Fourth Proportional to 2,938.77, 4,408.16 and 1,295.33

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Solution

The fourth proportional to 2,938.77, 4,408.16 and 1,295.33 is: 1,942.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.77 : 4,408.16 = 1,295.33 : x
  2. Step 2: Convert to fraction form
    2,938.77/4,408.16 = 1,295.33/x
  3. Step 3: Cross multiply
    2,938.77x = 4,408.16 × 1,295.33
  4. Step 4: Simplify right side
    2,938.77x = 5,709,993.38
  5. Step 5: Solve for x
    x = 5,709,993.38/2,938.77
  6. Step 6: Final answer
    x = 1,942.99

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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.