Home / 3,102.26-4,643.28-2,280.32

Finding the Fourth Proportional to 3,102.26, 4,643.28 and 2,280.32

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Solution

The fourth proportional to 3,102.26, 4,643.28 and 2,280.32 is: 3,413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.26 : 4,643.28 = 2,280.32 : x
  2. Step 2: Convert to fraction form
    3,102.26/4,643.28 = 2,280.32/x
  3. Step 3: Cross multiply
    3,102.26x = 4,643.28 × 2,280.32
  4. Step 4: Simplify right side
    3,102.26x = 10,588,164.25
  5. Step 5: Solve for x
    x = 10,588,164.25/3,102.26
  6. Step 6: Final answer
    x = 3,413.05

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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.