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Finding the Fourth Proportional to 2,055.04, 3,082.61 and 960.19

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Solution

The fourth proportional to 2,055.04, 3,082.61 and 960.19 is: 1,440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.04 : 3,082.61 = 960.19 : x
  2. Step 2: Convert to fraction form
    2,055.04/3,082.61 = 960.19/x
  3. Step 3: Cross multiply
    2,055.04x = 3,082.61 × 960.19
  4. Step 4: Simplify right side
    2,055.04x = 2,959,891.30
  5. Step 5: Solve for x
    x = 2,959,891.30/2,055.04
  6. Step 6: Final answer
    x = 1,440.31

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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.