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Finding the Fourth Proportional to 3,198.96, 4,798.44 and 1,830

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Solution

The fourth proportional to 3,198.96, 4,798.44 and 1,830 is: 2,745.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.96 : 4,798.44 = 1,830 : x
  2. Step 2: Convert to fraction form
    3,198.96/4,798.44 = 1,830/x
  3. Step 3: Cross multiply
    3,198.96x = 4,798.44 × 1,830
  4. Step 4: Simplify right side
    3,198.96x = 8,781,145.20
  5. Step 5: Solve for x
    x = 8,781,145.20/3,198.96
  6. Step 6: Final answer
    x = 2,745.00

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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.