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Finding the Fourth Proportional to 2,942.51, 4,413.66 and 751.22

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Solution

The fourth proportional to 2,942.51, 4,413.66 and 751.22 is: 1,126.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.51 : 4,413.66 = 751.22 : x
  2. Step 2: Convert to fraction form
    2,942.51/4,413.66 = 751.22/x
  3. Step 3: Cross multiply
    2,942.51x = 4,413.66 × 751.22
  4. Step 4: Simplify right side
    2,942.51x = 3,315,629.67
  5. Step 5: Solve for x
    x = 3,315,629.67/2,942.51
  6. Step 6: Final answer
    x = 1,126.80

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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.