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Finding the Fourth Proportional to 2,413.09, 3,617.18 and 950.23

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Solution

The fourth proportional to 2,413.09, 3,617.18 and 950.23 is: 1,424.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.09 : 3,617.18 = 950.23 : x
  2. Step 2: Convert to fraction form
    2,413.09/3,617.18 = 950.23/x
  3. Step 3: Cross multiply
    2,413.09x = 3,617.18 × 950.23
  4. Step 4: Simplify right side
    2,413.09x = 3,437,130.11
  5. Step 5: Solve for x
    x = 3,437,130.11/2,413.09
  6. Step 6: Final answer
    x = 1,424.37

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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.