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Finding the Fourth Proportional to 2,942.36, 4,414.08 and 968.10

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Solution

The fourth proportional to 2,942.36, 4,414.08 and 968.10 is: 1,452.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.36 : 4,414.08 = 968.10 : x
  2. Step 2: Convert to fraction form
    2,942.36/4,414.08 = 968.10/x
  3. Step 3: Cross multiply
    2,942.36x = 4,414.08 × 968.10
  4. Step 4: Simplify right side
    2,942.36x = 4,273,270.85
  5. Step 5: Solve for x
    x = 4,273,270.85/2,942.36
  6. Step 6: Final answer
    x = 1,452.33

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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.