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Finding the Fourth Proportional to 2,619.06, 3,927.61 and 769.69

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Solution

The fourth proportional to 2,619.06, 3,927.61 and 769.69 is: 1,154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.06 : 3,927.61 = 769.69 : x
  2. Step 2: Convert to fraction form
    2,619.06/3,927.61 = 769.69/x
  3. Step 3: Cross multiply
    2,619.06x = 3,927.61 × 769.69
  4. Step 4: Simplify right side
    2,619.06x = 3,023,042.14
  5. Step 5: Solve for x
    x = 3,023,042.14/2,619.06
  6. Step 6: Final answer
    x = 1,154.25

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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.