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Finding the Fourth Proportional to 2,968.36, 4,096.72 and 1,726.36

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Solution

The fourth proportional to 2,968.36, 4,096.72 and 1,726.36 is: 2,382.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.36 : 4,096.72 = 1,726.36 : x
  2. Step 2: Convert to fraction form
    2,968.36/4,096.72 = 1,726.36/x
  3. Step 3: Cross multiply
    2,968.36x = 4,096.72 × 1,726.36
  4. Step 4: Simplify right side
    2,968.36x = 7,072,413.54
  5. Step 5: Solve for x
    x = 7,072,413.54/2,968.36
  6. Step 6: Final answer
    x = 2,382.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.