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Finding the Fourth Proportional to 2,734.31, 4,101.74 and 786.80

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Solution

The fourth proportional to 2,734.31, 4,101.74 and 786.80 is: 1,180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.31 : 4,101.74 = 786.80 : x
  2. Step 2: Convert to fraction form
    2,734.31/4,101.74 = 786.80/x
  3. Step 3: Cross multiply
    2,734.31x = 4,101.74 × 786.80
  4. Step 4: Simplify right side
    2,734.31x = 3,227,224.59
  5. Step 5: Solve for x
    x = 3,227,224.59/2,734.31
  6. Step 6: Final answer
    x = 1,180.27

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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.