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Finding the Fourth Proportional to 3,209.40, 4,814.10 and 1,481.40

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Solution

The fourth proportional to 3,209.40, 4,814.10 and 1,481.40 is: 2,222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.40 : 4,814.10 = 1,481.40 : x
  2. Step 2: Convert to fraction form
    3,209.40/4,814.10 = 1,481.40/x
  3. Step 3: Cross multiply
    3,209.40x = 4,814.10 × 1,481.40
  4. Step 4: Simplify right side
    3,209.40x = 7,131,607.74
  5. Step 5: Solve for x
    x = 7,131,607.74/3,209.40
  6. Step 6: Final answer
    x = 2,222.10

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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.