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Finding the Fourth Proportional to 3,181.80, 4,763.89 and 2,399.43

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Solution

The fourth proportional to 3,181.80, 4,763.89 and 2,399.43 is: 3,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.80 : 4,763.89 = 2,399.43 : x
  2. Step 2: Convert to fraction form
    3,181.80/4,763.89 = 2,399.43/x
  3. Step 3: Cross multiply
    3,181.80x = 4,763.89 × 2,399.43
  4. Step 4: Simplify right side
    3,181.80x = 11,430,620.58
  5. Step 5: Solve for x
    x = 11,430,620.58/3,181.80
  6. Step 6: Final answer
    x = 3,592.50

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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.