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Finding the Fourth Proportional to 2,240.38, 3,360.70 and 680.44

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Solution

The fourth proportional to 2,240.38, 3,360.70 and 680.44 is: 1,020.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.38 : 3,360.70 = 680.44 : x
  2. Step 2: Convert to fraction form
    2,240.38/3,360.70 = 680.44/x
  3. Step 3: Cross multiply
    2,240.38x = 3,360.70 × 680.44
  4. Step 4: Simplify right side
    2,240.38x = 2,286,739.61
  5. Step 5: Solve for x
    x = 2,286,739.61/2,240.38
  6. Step 6: Final answer
    x = 1,020.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.