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Finding the Fourth Proportional to 2,698.01, 4,044.67 and 942.75

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Solution

The fourth proportional to 2,698.01, 4,044.67 and 942.75 is: 1,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.01 : 4,044.67 = 942.75 : x
  2. Step 2: Convert to fraction form
    2,698.01/4,044.67 = 942.75/x
  3. Step 3: Cross multiply
    2,698.01x = 4,044.67 × 942.75
  4. Step 4: Simplify right side
    2,698.01x = 3,813,091.37
  5. Step 5: Solve for x
    x = 3,813,091.37/2,698.01
  6. Step 6: Final answer
    x = 1,413.30

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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.