Home / 2,314.20-3,467.70-2,004.60

Finding the Fourth Proportional to 2,314.20, 3,467.70 and 2,004.60

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Solution

The fourth proportional to 2,314.20, 3,467.70 and 2,004.60 is: 3,003.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.20 : 3,467.70 = 2,004.60 : x
  2. Step 2: Convert to fraction form
    2,314.20/3,467.70 = 2,004.60/x
  3. Step 3: Cross multiply
    2,314.20x = 3,467.70 × 2,004.60
  4. Step 4: Simplify right side
    2,314.20x = 6,951,351.42
  5. Step 5: Solve for x
    x = 6,951,351.42/2,314.20
  6. Step 6: Final answer
    x = 3,003.78

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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.