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Finding the Fourth Proportional to 2,707.44, 4,055.49 and 1,728.56

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Solution

The fourth proportional to 2,707.44, 4,055.49 and 1,728.56 is: 2,589.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.44 : 4,055.49 = 1,728.56 : x
  2. Step 2: Convert to fraction form
    2,707.44/4,055.49 = 1,728.56/x
  3. Step 3: Cross multiply
    2,707.44x = 4,055.49 × 1,728.56
  4. Step 4: Simplify right side
    2,707.44x = 7,010,137.52
  5. Step 5: Solve for x
    x = 7,010,137.52/2,707.44
  6. Step 6: Final answer
    x = 2,589.21

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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.