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Finding the Fourth Proportional to 1,413.10, 1,950.42 and 941.77

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Solution

The fourth proportional to 1,413.10, 1,950.42 and 941.77 is: 1,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.10 : 1,950.42 = 941.77 : x
  2. Step 2: Convert to fraction form
    1,413.10/1,950.42 = 941.77/x
  3. Step 3: Cross multiply
    1,413.10x = 1,950.42 × 941.77
  4. Step 4: Simplify right side
    1,413.10x = 1,836,847.04
  5. Step 5: Solve for x
    x = 1,836,847.04/1,413.10
  6. Step 6: Final answer
    x = 1,299.87

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