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Finding the Fourth Proportional to 3,219.70, 4,442.70 and 1,961.77

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Solution

The fourth proportional to 3,219.70, 4,442.70 and 1,961.77 is: 2,706.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.70 : 4,442.70 = 1,961.77 : x
  2. Step 2: Convert to fraction form
    3,219.70/4,442.70 = 1,961.77/x
  3. Step 3: Cross multiply
    3,219.70x = 4,442.70 × 1,961.77
  4. Step 4: Simplify right side
    3,219.70x = 8,715,555.58
  5. Step 5: Solve for x
    x = 8,715,555.58/3,219.70
  6. Step 6: Final answer
    x = 2,706.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.