Home / 3,422.24-4,720.56-2,024

Finding the Fourth Proportional to 3,422.24, 4,720.56 and 2,024

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Solution

The fourth proportional to 3,422.24, 4,720.56 and 2,024 is: 2,791.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.24 : 4,720.56 = 2,024 : x
  2. Step 2: Convert to fraction form
    3,422.24/4,720.56 = 2,024/x
  3. Step 3: Cross multiply
    3,422.24x = 4,720.56 × 2,024
  4. Step 4: Simplify right side
    3,422.24x = 9,554,413.44
  5. Step 5: Solve for x
    x = 9,554,413.44/3,422.24
  6. Step 6: Final answer
    x = 2,791.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.