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Finding the Fourth Proportional to 2,908.42, 4,362.20 and 960.38

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Solution

The fourth proportional to 2,908.42, 4,362.20 and 960.38 is: 1,440.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.42 : 4,362.20 = 960.38 : x
  2. Step 2: Convert to fraction form
    2,908.42/4,362.20 = 960.38/x
  3. Step 3: Cross multiply
    2,908.42x = 4,362.20 × 960.38
  4. Step 4: Simplify right side
    2,908.42x = 4,189,369.64
  5. Step 5: Solve for x
    x = 4,189,369.64/2,908.42
  6. Step 6: Final answer
    x = 1,440.43

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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.