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Finding the Fourth Proportional to 2,729.22, 4,093.76 and 677.22

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Solution

The fourth proportional to 2,729.22, 4,093.76 and 677.22 is: 1,015.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.22 : 4,093.76 = 677.22 : x
  2. Step 2: Convert to fraction form
    2,729.22/4,093.76 = 677.22/x
  3. Step 3: Cross multiply
    2,729.22x = 4,093.76 × 677.22
  4. Step 4: Simplify right side
    2,729.22x = 2,772,376.15
  5. Step 5: Solve for x
    x = 2,772,376.15/2,729.22
  6. Step 6: Final answer
    x = 1,015.81

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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.