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Finding the Fourth Proportional to 2,812.89, 4,219.78 and 1,253.44

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Solution

The fourth proportional to 2,812.89, 4,219.78 and 1,253.44 is: 1,880.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.89 : 4,219.78 = 1,253.44 : x
  2. Step 2: Convert to fraction form
    2,812.89/4,219.78 = 1,253.44/x
  3. Step 3: Cross multiply
    2,812.89x = 4,219.78 × 1,253.44
  4. Step 4: Simplify right side
    2,812.89x = 5,289,241.04
  5. Step 5: Solve for x
    x = 5,289,241.04/2,812.89
  6. Step 6: Final answer
    x = 1,880.36

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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.