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Finding the Fourth Proportional to 3,033.05, 4,184.03 and 1,985.09

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Solution

The fourth proportional to 3,033.05, 4,184.03 and 1,985.09 is: 2,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.05 : 4,184.03 = 1,985.09 : x
  2. Step 2: Convert to fraction form
    3,033.05/4,184.03 = 1,985.09/x
  3. Step 3: Cross multiply
    3,033.05x = 4,184.03 × 1,985.09
  4. Step 4: Simplify right side
    3,033.05x = 8,305,660.16
  5. Step 5: Solve for x
    x = 8,305,660.16/3,033.05
  6. Step 6: Final answer
    x = 2,738.39

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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.