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Finding the Fourth Proportional to 2,812.28, 4,219.01 and 838.05

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Solution

The fourth proportional to 2,812.28, 4,219.01 and 838.05 is: 1,257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.28 : 4,219.01 = 838.05 : x
  2. Step 2: Convert to fraction form
    2,812.28/4,219.01 = 838.05/x
  3. Step 3: Cross multiply
    2,812.28x = 4,219.01 × 838.05
  4. Step 4: Simplify right side
    2,812.28x = 3,535,737.14
  5. Step 5: Solve for x
    x = 3,535,737.14/2,812.28
  6. Step 6: Final answer
    x = 1,257.25

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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.