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Finding the Fourth Proportional to 2,242.44, 3,364.14 and 682.41

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Solution

The fourth proportional to 2,242.44, 3,364.14 and 682.41 is: 1,023.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.44 : 3,364.14 = 682.41 : x
  2. Step 2: Convert to fraction form
    2,242.44/3,364.14 = 682.41/x
  3. Step 3: Cross multiply
    2,242.44x = 3,364.14 × 682.41
  4. Step 4: Simplify right side
    2,242.44x = 2,295,722.78
  5. Step 5: Solve for x
    x = 2,295,722.78/2,242.44
  6. Step 6: Final answer
    x = 1,023.76

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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.