Home / 3,022.44-4,534.13-942.02

Finding the Fourth Proportional to 3,022.44, 4,534.13 and 942.02

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Solution

The fourth proportional to 3,022.44, 4,534.13 and 942.02 is: 1,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.44 : 4,534.13 = 942.02 : x
  2. Step 2: Convert to fraction form
    3,022.44/4,534.13 = 942.02/x
  3. Step 3: Cross multiply
    3,022.44x = 4,534.13 × 942.02
  4. Step 4: Simplify right side
    3,022.44x = 4,271,241.14
  5. Step 5: Solve for x
    x = 4,271,241.14/3,022.44
  6. Step 6: Final answer
    x = 1,413.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.