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Finding the Fourth Proportional to 3,002.69, 4,493.07 and 1,828.41

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Solution

The fourth proportional to 3,002.69, 4,493.07 and 1,828.41 is: 2,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.69 : 4,493.07 = 1,828.41 : x
  2. Step 2: Convert to fraction form
    3,002.69/4,493.07 = 1,828.41/x
  3. Step 3: Cross multiply
    3,002.69x = 4,493.07 × 1,828.41
  4. Step 4: Simplify right side
    3,002.69x = 8,215,174.12
  5. Step 5: Solve for x
    x = 8,215,174.12/3,002.69
  6. Step 6: Final answer
    x = 2,735.94

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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.