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Finding the Fourth Proportional to 2,762.44, 3,811.74 and 1,768.60

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Solution

The fourth proportional to 2,762.44, 3,811.74 and 1,768.60 is: 2,440.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.44 : 3,811.74 = 1,768.60 : x
  2. Step 2: Convert to fraction form
    2,762.44/3,811.74 = 1,768.60/x
  3. Step 3: Cross multiply
    2,762.44x = 3,811.74 × 1,768.60
  4. Step 4: Simplify right side
    2,762.44x = 6,741,443.36
  5. Step 5: Solve for x
    x = 6,741,443.36/2,762.44
  6. Step 6: Final answer
    x = 2,440.39

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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.