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Finding the Fourth Proportional to 2,078.69, 2,859.99 and 1,578.43

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Solution

The fourth proportional to 2,078.69, 2,859.99 and 1,578.43 is: 2,171.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.69 : 2,859.99 = 1,578.43 : x
  2. Step 2: Convert to fraction form
    2,078.69/2,859.99 = 1,578.43/x
  3. Step 3: Cross multiply
    2,078.69x = 2,859.99 × 1,578.43
  4. Step 4: Simplify right side
    2,078.69x = 4,514,279.72
  5. Step 5: Solve for x
    x = 4,514,279.72/2,078.69
  6. Step 6: Final answer
    x = 2,171.69

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