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Finding the Fourth Proportional to 3,198.40, 4,793.10 and 2,541.40

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Solution

The fourth proportional to 3,198.40, 4,793.10 and 2,541.40 is: 3,808.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.40 : 4,793.10 = 2,541.40 : x
  2. Step 2: Convert to fraction form
    3,198.40/4,793.10 = 2,541.40/x
  3. Step 3: Cross multiply
    3,198.40x = 4,793.10 × 2,541.40
  4. Step 4: Simplify right side
    3,198.40x = 12,181,184.34
  5. Step 5: Solve for x
    x = 12,181,184.34/3,198.40
  6. Step 6: Final answer
    x = 3,808.52

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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.