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Finding the Fourth Proportional to 3,397.69, 4,688.81 and 2,000.44

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Solution

The fourth proportional to 3,397.69, 4,688.81 and 2,000.44 is: 2,760.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.69 : 4,688.81 = 2,000.44 : x
  2. Step 2: Convert to fraction form
    3,397.69/4,688.81 = 2,000.44/x
  3. Step 3: Cross multiply
    3,397.69x = 4,688.81 × 2,000.44
  4. Step 4: Simplify right side
    3,397.69x = 9,379,676.36
  5. Step 5: Solve for x
    x = 9,379,676.36/3,397.69
  6. Step 6: Final answer
    x = 2,760.61

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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.