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Finding the Fourth Proportional to 3,198.90, 4,790.16 and 1,962.57

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Solution

The fourth proportional to 3,198.90, 4,790.16 and 1,962.57 is: 2,938.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.90 : 4,790.16 = 1,962.57 : x
  2. Step 2: Convert to fraction form
    3,198.90/4,790.16 = 1,962.57/x
  3. Step 3: Cross multiply
    3,198.90x = 4,790.16 × 1,962.57
  4. Step 4: Simplify right side
    3,198.90x = 9,401,024.31
  5. Step 5: Solve for x
    x = 9,401,024.31/3,198.90
  6. Step 6: Final answer
    x = 2,938.83

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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.