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Finding the Fourth Proportional to 2,242.82, 3,364.26 and 682.82

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Solution

The fourth proportional to 2,242.82, 3,364.26 and 682.82 is: 1,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.82 : 3,364.26 = 682.82 : x
  2. Step 2: Convert to fraction form
    2,242.82/3,364.26 = 682.82/x
  3. Step 3: Cross multiply
    2,242.82x = 3,364.26 × 682.82
  4. Step 4: Simplify right side
    2,242.82x = 2,297,184.01
  5. Step 5: Solve for x
    x = 2,297,184.01/2,242.82
  6. Step 6: Final answer
    x = 1,024.24

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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.