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Finding the Fourth Proportional to 3,209.44, 4,814.43 and 900.94

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Solution

The fourth proportional to 3,209.44, 4,814.43 and 900.94 is: 1,351.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.44 : 4,814.43 = 900.94 : x
  2. Step 2: Convert to fraction form
    3,209.44/4,814.43 = 900.94/x
  3. Step 3: Cross multiply
    3,209.44x = 4,814.43 × 900.94
  4. Step 4: Simplify right side
    3,209.44x = 4,337,500.53
  5. Step 5: Solve for x
    x = 4,337,500.53/3,209.44
  6. Step 6: Final answer
    x = 1,351.48

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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.