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Finding the Fourth Proportional to 2,778.66, 4,163.67 and 1,750.50

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Solution

The fourth proportional to 2,778.66, 4,163.67 and 1,750.50 is: 2,623.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.66 : 4,163.67 = 1,750.50 : x
  2. Step 2: Convert to fraction form
    2,778.66/4,163.67 = 1,750.50/x
  3. Step 3: Cross multiply
    2,778.66x = 4,163.67 × 1,750.50
  4. Step 4: Simplify right side
    2,778.66x = 7,288,504.34
  5. Step 5: Solve for x
    x = 7,288,504.34/2,778.66
  6. Step 6: Final answer
    x = 2,623.03

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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.