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Finding the Fourth Proportional to 2,242.53, 3,363.67 and 682.50

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Solution

The fourth proportional to 2,242.53, 3,363.67 and 682.50 is: 1,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.53 : 3,363.67 = 682.50 : x
  2. Step 2: Convert to fraction form
    2,242.53/3,363.67 = 682.50/x
  3. Step 3: Cross multiply
    2,242.53x = 3,363.67 × 682.50
  4. Step 4: Simplify right side
    2,242.53x = 2,295,694.42
  5. Step 5: Solve for x
    x = 2,295,694.42/2,242.53
  6. Step 6: Final answer
    x = 1,023.71

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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.