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Finding the Fourth Proportional to 2,762.22, 3,812.34 and 1,767.45

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Solution

The fourth proportional to 2,762.22, 3,812.34 and 1,767.45 is: 2,439.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.22 : 3,812.34 = 1,767.45 : x
  2. Step 2: Convert to fraction form
    2,762.22/3,812.34 = 1,767.45/x
  3. Step 3: Cross multiply
    2,762.22x = 3,812.34 × 1,767.45
  4. Step 4: Simplify right side
    2,762.22x = 6,738,120.33
  5. Step 5: Solve for x
    x = 6,738,120.33/2,762.22
  6. Step 6: Final answer
    x = 2,439.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.