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Finding the Fourth Proportional to 2,055.54, 3,082.88 and 960.42

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Solution

The fourth proportional to 2,055.54, 3,082.88 and 960.42 is: 1,440.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.54 : 3,082.88 = 960.42 : x
  2. Step 2: Convert to fraction form
    2,055.54/3,082.88 = 960.42/x
  3. Step 3: Cross multiply
    2,055.54x = 3,082.88 × 960.42
  4. Step 4: Simplify right side
    2,055.54x = 2,960,859.61
  5. Step 5: Solve for x
    x = 2,960,859.61/2,055.54
  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.