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Finding the Fourth Proportional to 3,021.80, 4,198 and 2,994.76

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Solution

The fourth proportional to 3,021.80, 4,198 and 2,994.76 is: 4,160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.80 : 4,198 = 2,994.76 : x
  2. Step 2: Convert to fraction form
    3,021.80/4,198 = 2,994.76/x
  3. Step 3: Cross multiply
    3,021.80x = 4,198 × 2,994.76
  4. Step 4: Simplify right side
    3,021.80x = 12,572,002.48
  5. Step 5: Solve for x
    x = 12,572,002.48/3,021.80
  6. Step 6: Final answer
    x = 4,160.43

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.