Home / 1,413.18-2,119.08-829.32

Finding the Fourth Proportional to 1,413.18, 2,119.08 and 829.32

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Solution

The fourth proportional to 1,413.18, 2,119.08 and 829.32 is: 1,243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.18 : 2,119.08 = 829.32 : x
  2. Step 2: Convert to fraction form
    1,413.18/2,119.08 = 829.32/x
  3. Step 3: Cross multiply
    1,413.18x = 2,119.08 × 829.32
  4. Step 4: Simplify right side
    1,413.18x = 1,757,395.43
  5. Step 5: Solve for x
    x = 1,757,395.43/1,413.18
  6. Step 6: Final answer
    x = 1,243.58

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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.