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Finding the Fourth Proportional to 2,814.98, 4,219.18 and 2,119.41

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Solution

The fourth proportional to 2,814.98, 4,219.18 and 2,119.41 is: 3,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.98 : 4,219.18 = 2,119.41 : x
  2. Step 2: Convert to fraction form
    2,814.98/4,219.18 = 2,119.41/x
  3. Step 3: Cross multiply
    2,814.98x = 4,219.18 × 2,119.41
  4. Step 4: Simplify right side
    2,814.98x = 8,942,172.28
  5. Step 5: Solve for x
    x = 8,942,172.28/2,814.98
  6. Step 6: Final answer
    x = 3,176.64

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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.