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Finding the Fourth Proportional to 2,429.45, 3,352.07 and 1,382.09

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Solution

The fourth proportional to 2,429.45, 3,352.07 and 1,382.09 is: 1,906.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.45 : 3,352.07 = 1,382.09 : x
  2. Step 2: Convert to fraction form
    2,429.45/3,352.07 = 1,382.09/x
  3. Step 3: Cross multiply
    2,429.45x = 3,352.07 × 1,382.09
  4. Step 4: Simplify right side
    2,429.45x = 4,632,855.52
  5. Step 5: Solve for x
    x = 4,632,855.52/2,429.45
  6. Step 6: Final answer
    x = 1,906.96

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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.