Home / 3,023.44-4,532-2,049.60

Finding the Fourth Proportional to 3,023.44, 4,532 and 2,049.60

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Solution

The fourth proportional to 3,023.44, 4,532 and 2,049.60 is: 3,072.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.44 : 4,532 = 2,049.60 : x
  2. Step 2: Convert to fraction form
    3,023.44/4,532 = 2,049.60/x
  3. Step 3: Cross multiply
    3,023.44x = 4,532 × 2,049.60
  4. Step 4: Simplify right side
    3,023.44x = 9,288,787.20
  5. Step 5: Solve for x
    x = 9,288,787.20/3,023.44
  6. Step 6: Final answer
    x = 3,072.26

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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.