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Finding the Fourth Proportional to 3,000.30, 4,142.46 and 2,684.61

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Solution

The fourth proportional to 3,000.30, 4,142.46 and 2,684.61 is: 3,706.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.30 : 4,142.46 = 2,684.61 : x
  2. Step 2: Convert to fraction form
    3,000.30/4,142.46 = 2,684.61/x
  3. Step 3: Cross multiply
    3,000.30x = 4,142.46 × 2,684.61
  4. Step 4: Simplify right side
    3,000.30x = 11,120,889.54
  5. Step 5: Solve for x
    x = 11,120,889.54/3,000.30
  6. Step 6: Final answer
    x = 3,706.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.