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Finding the Fourth Proportional to 2,356.76, 3,534.26 and 796.37

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Solution

The fourth proportional to 2,356.76, 3,534.26 and 796.37 is: 1,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.76 : 3,534.26 = 796.37 : x
  2. Step 2: Convert to fraction form
    2,356.76/3,534.26 = 796.37/x
  3. Step 3: Cross multiply
    2,356.76x = 3,534.26 × 796.37
  4. Step 4: Simplify right side
    2,356.76x = 2,814,556.98
  5. Step 5: Solve for x
    x = 2,814,556.98/2,356.76
  6. Step 6: Final answer
    x = 1,194.25

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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.