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Finding the Fourth Proportional to 2,959.72, 4,439.58 and 768.26

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Solution

The fourth proportional to 2,959.72, 4,439.58 and 768.26 is: 1,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.72 : 4,439.58 = 768.26 : x
  2. Step 2: Convert to fraction form
    2,959.72/4,439.58 = 768.26/x
  3. Step 3: Cross multiply
    2,959.72x = 4,439.58 × 768.26
  4. Step 4: Simplify right side
    2,959.72x = 3,410,751.73
  5. Step 5: Solve for x
    x = 3,410,751.73/2,959.72
  6. Step 6: Final answer
    x = 1,152.39

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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.