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Finding the Fourth Proportional to 2,579.45, 3,858.34 and 2,392.50

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Solution

The fourth proportional to 2,579.45, 3,858.34 and 2,392.50 is: 3,578.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.45 : 3,858.34 = 2,392.50 : x
  2. Step 2: Convert to fraction form
    2,579.45/3,858.34 = 2,392.50/x
  3. Step 3: Cross multiply
    2,579.45x = 3,858.34 × 2,392.50
  4. Step 4: Simplify right side
    2,579.45x = 9,231,053.18
  5. Step 5: Solve for x
    x = 9,231,053.18/2,579.45
  6. Step 6: Final answer
    x = 3,578.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.