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Finding the Fourth Proportional to 2,628.27, 3,942.52 and 779.35

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Solution

The fourth proportional to 2,628.27, 3,942.52 and 779.35 is: 1,169.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.27 : 3,942.52 = 779.35 : x
  2. Step 2: Convert to fraction form
    2,628.27/3,942.52 = 779.35/x
  3. Step 3: Cross multiply
    2,628.27x = 3,942.52 × 779.35
  4. Step 4: Simplify right side
    2,628.27x = 3,072,602.96
  5. Step 5: Solve for x
    x = 3,072,602.96/2,628.27
  6. Step 6: Final answer
    x = 1,169.06

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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.