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Finding the Fourth Proportional to 3,289.30, 4,932.64 and 1,208.68

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Solution

The fourth proportional to 3,289.30, 4,932.64 and 1,208.68 is: 1,812.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.30 : 4,932.64 = 1,208.68 : x
  2. Step 2: Convert to fraction form
    3,289.30/4,932.64 = 1,208.68/x
  3. Step 3: Cross multiply
    3,289.30x = 4,932.64 × 1,208.68
  4. Step 4: Simplify right side
    3,289.30x = 5,961,983.32
  5. Step 5: Solve for x
    x = 5,961,983.32/3,289.30
  6. Step 6: Final answer
    x = 1,812.54

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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.