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Finding the Fourth Proportional to 2,055.36, 3,078.72 and 960.60

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Solution

The fourth proportional to 2,055.36, 3,078.72 and 960.60 is: 1,438.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.36 : 3,078.72 = 960.60 : x
  2. Step 2: Convert to fraction form
    2,055.36/3,078.72 = 960.60/x
  3. Step 3: Cross multiply
    2,055.36x = 3,078.72 × 960.60
  4. Step 4: Simplify right side
    2,055.36x = 2,957,418.43
  5. Step 5: Solve for x
    x = 2,957,418.43/2,055.36
  6. Step 6: Final answer
    x = 1,438.88

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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.