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Finding the Fourth Proportional to 3,208.65, 4,809.65 and 1,233.73

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Solution

The fourth proportional to 3,208.65, 4,809.65 and 1,233.73 is: 1,849.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.65 : 4,809.65 = 1,233.73 : x
  2. Step 2: Convert to fraction form
    3,208.65/4,809.65 = 1,233.73/x
  3. Step 3: Cross multiply
    3,208.65x = 4,809.65 × 1,233.73
  4. Step 4: Simplify right side
    3,208.65x = 5,933,809.34
  5. Step 5: Solve for x
    x = 5,933,809.34/3,208.65
  6. Step 6: Final answer
    x = 1,849.32

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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.