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Finding the Fourth Proportional to 2,812.89, 4,219.94 and 1,081.50

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Solution

The fourth proportional to 2,812.89, 4,219.94 and 1,081.50 is: 1,622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.89 : 4,219.94 = 1,081.50 : x
  2. Step 2: Convert to fraction form
    2,812.89/4,219.94 = 1,081.50/x
  3. Step 3: Cross multiply
    2,812.89x = 4,219.94 × 1,081.50
  4. Step 4: Simplify right side
    2,812.89x = 4,563,859.70
  5. Step 5: Solve for x
    x = 4,563,859.70/2,812.89
  6. Step 6: Final answer
    x = 1,622.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.