Home / 1,413.24-2,120.12-548.16

Finding the Fourth Proportional to 1,413.24, 2,120.12 and 548.16

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Solution

The fourth proportional to 1,413.24, 2,120.12 and 548.16 is: 822.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.24 : 2,120.12 = 548.16 : x
  2. Step 2: Convert to fraction form
    1,413.24/2,120.12 = 548.16/x
  3. Step 3: Cross multiply
    1,413.24x = 2,120.12 × 548.16
  4. Step 4: Simplify right side
    1,413.24x = 1,162,164.98
  5. Step 5: Solve for x
    x = 1,162,164.98/1,413.24
  6. Step 6: Final answer
    x = 822.34

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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.