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Finding the Fourth Proportional to 2,413.16, 3,617.02 and 1,437.22

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Solution

The fourth proportional to 2,413.16, 3,617.02 and 1,437.22 is: 2,154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.16 : 3,617.02 = 1,437.22 : x
  2. Step 2: Convert to fraction form
    2,413.16/3,617.02 = 1,437.22/x
  3. Step 3: Cross multiply
    2,413.16x = 3,617.02 × 1,437.22
  4. Step 4: Simplify right side
    2,413.16x = 5,198,453.48
  5. Step 5: Solve for x
    x = 5,198,453.48/2,413.16
  6. Step 6: Final answer
    x = 2,154.21

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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.