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Finding the Fourth Proportional to 3,414.84, 5,131.90 and 2,028.44

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Solution

The fourth proportional to 3,414.84, 5,131.90 and 2,028.44 is: 3,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.84 : 5,131.90 = 2,028.44 : x
  2. Step 2: Convert to fraction form
    3,414.84/5,131.90 = 2,028.44/x
  3. Step 3: Cross multiply
    3,414.84x = 5,131.90 × 2,028.44
  4. Step 4: Simplify right side
    3,414.84x = 10,409,751.24
  5. Step 5: Solve for x
    x = 10,409,751.24/3,414.84
  6. Step 6: Final answer
    x = 3,048.39

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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.