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Finding the Fourth Proportional to 3,002.94, 4,144.89 and 2,406.39

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Solution

The fourth proportional to 3,002.94, 4,144.89 and 2,406.39 is: 3,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.94 : 4,144.89 = 2,406.39 : x
  2. Step 2: Convert to fraction form
    3,002.94/4,144.89 = 2,406.39/x
  3. Step 3: Cross multiply
    3,002.94x = 4,144.89 × 2,406.39
  4. Step 4: Simplify right side
    3,002.94x = 9,974,221.85
  5. Step 5: Solve for x
    x = 9,974,221.85/3,002.94
  6. Step 6: Final answer
    x = 3,321.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.