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Finding the Fourth Proportional to 4,198.67, 6,295.69 and 1,732.93

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Solution

The fourth proportional to 4,198.67, 6,295.69 and 1,732.93 is: 2,598.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.67 : 6,295.69 = 1,732.93 : x
  2. Step 2: Convert to fraction form
    4,198.67/6,295.69 = 1,732.93/x
  3. Step 3: Cross multiply
    4,198.67x = 6,295.69 × 1,732.93
  4. Step 4: Simplify right side
    4,198.67x = 10,909,976.50
  5. Step 5: Solve for x
    x = 10,909,976.50/4,198.67
  6. Step 6: Final answer
    x = 2,598.44

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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.