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Finding the Fourth Proportional to 3,208.19, 4,813.81 and 1,563.83

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Solution

The fourth proportional to 3,208.19, 4,813.81 and 1,563.83 is: 2,346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.19 : 4,813.81 = 1,563.83 : x
  2. Step 2: Convert to fraction form
    3,208.19/4,813.81 = 1,563.83/x
  3. Step 3: Cross multiply
    3,208.19x = 4,813.81 × 1,563.83
  4. Step 4: Simplify right side
    3,208.19x = 7,528,006.44
  5. Step 5: Solve for x
    x = 7,528,006.44/3,208.19
  6. Step 6: Final answer
    x = 2,346.50

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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.