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Finding the Fourth Proportional to 2,179.44, 3,007.69 and 1,283.27

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Solution

The fourth proportional to 2,179.44, 3,007.69 and 1,283.27 is: 1,770.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.44 : 3,007.69 = 1,283.27 : x
  2. Step 2: Convert to fraction form
    2,179.44/3,007.69 = 1,283.27/x
  3. Step 3: Cross multiply
    2,179.44x = 3,007.69 × 1,283.27
  4. Step 4: Simplify right side
    2,179.44x = 3,859,677.58
  5. Step 5: Solve for x
    x = 3,859,677.58/2,179.44
  6. Step 6: Final answer
    x = 1,770.95

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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.