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Finding the Fourth Proportional to 2,175.05, 3,262.73 and 942.54

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Solution

The fourth proportional to 2,175.05, 3,262.73 and 942.54 is: 1,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.05 : 3,262.73 = 942.54 : x
  2. Step 2: Convert to fraction form
    2,175.05/3,262.73 = 942.54/x
  3. Step 3: Cross multiply
    2,175.05x = 3,262.73 × 942.54
  4. Step 4: Simplify right side
    2,175.05x = 3,075,241.89
  5. Step 5: Solve for x
    x = 3,075,241.89/2,175.05
  6. Step 6: Final answer
    x = 1,413.87

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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.