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Finding the Fourth Proportional to 3,201.76, 4,797.90 and 1,556.41

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Solution

The fourth proportional to 3,201.76, 4,797.90 and 1,556.41 is: 2,332.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.76 : 4,797.90 = 1,556.41 : x
  2. Step 2: Convert to fraction form
    3,201.76/4,797.90 = 1,556.41/x
  3. Step 3: Cross multiply
    3,201.76x = 4,797.90 × 1,556.41
  4. Step 4: Simplify right side
    3,201.76x = 7,467,499.54
  5. Step 5: Solve for x
    x = 7,467,499.54/3,201.76
  6. Step 6: Final answer
    x = 2,332.31

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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.