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Finding the Fourth Proportional to 2,394.43, 3,295.91 and 2,078.43

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Solution

The fourth proportional to 2,394.43, 3,295.91 and 2,078.43 is: 2,860.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.43 : 3,295.91 = 2,078.43 : x
  2. Step 2: Convert to fraction form
    2,394.43/3,295.91 = 2,078.43/x
  3. Step 3: Cross multiply
    2,394.43x = 3,295.91 × 2,078.43
  4. Step 4: Simplify right side
    2,394.43x = 6,850,318.22
  5. Step 5: Solve for x
    x = 6,850,318.22/2,394.43
  6. Step 6: Final answer
    x = 2,860.94

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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.