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Finding the Fourth Proportional to 2,055.62, 3,082.35 and 959.78

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Solution

The fourth proportional to 2,055.62, 3,082.35 and 959.78 is: 1,439.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.62 : 3,082.35 = 959.78 : x
  2. Step 2: Convert to fraction form
    2,055.62/3,082.35 = 959.78/x
  3. Step 3: Cross multiply
    2,055.62x = 3,082.35 × 959.78
  4. Step 4: Simplify right side
    2,055.62x = 2,958,377.88
  5. Step 5: Solve for x
    x = 2,958,377.88/2,055.62
  6. Step 6: Final answer
    x = 1,439.17

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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.