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Finding the Fourth Proportional to 2,628.06, 3,941.96 and 779.19

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Solution

The fourth proportional to 2,628.06, 3,941.96 and 779.19 is: 1,168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.06 : 3,941.96 = 779.19 : x
  2. Step 2: Convert to fraction form
    2,628.06/3,941.96 = 779.19/x
  3. Step 3: Cross multiply
    2,628.06x = 3,941.96 × 779.19
  4. Step 4: Simplify right side
    2,628.06x = 3,071,531.92
  5. Step 5: Solve for x
    x = 3,071,531.92/2,628.06
  6. Step 6: Final answer
    x = 1,168.74

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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.