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Finding the Fourth Proportional to 3,214.42, 4,819.89 and 1,481.50

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Solution

The fourth proportional to 3,214.42, 4,819.89 and 1,481.50 is: 2,221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.42 : 4,819.89 = 1,481.50 : x
  2. Step 2: Convert to fraction form
    3,214.42/4,819.89 = 1,481.50/x
  3. Step 3: Cross multiply
    3,214.42x = 4,819.89 × 1,481.50
  4. Step 4: Simplify right side
    3,214.42x = 7,140,667.04
  5. Step 5: Solve for x
    x = 7,140,667.04/3,214.42
  6. Step 6: Final answer
    x = 2,221.45

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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.