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Finding the Fourth Proportional to 2,942.07, 4,413.14 and 750.83

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Solution

The fourth proportional to 2,942.07, 4,413.14 and 750.83 is: 1,126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.07 : 4,413.14 = 750.83 : x
  2. Step 2: Convert to fraction form
    2,942.07/4,413.14 = 750.83/x
  3. Step 3: Cross multiply
    2,942.07x = 4,413.14 × 750.83
  4. Step 4: Simplify right side
    2,942.07x = 3,313,492.09
  5. Step 5: Solve for x
    x = 3,313,492.09/2,942.07
  6. Step 6: Final answer
    x = 1,126.25

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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.