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Finding the Fourth Proportional to 2,694.52, 3,709.06 and 2,344.60

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Solution

The fourth proportional to 2,694.52, 3,709.06 and 2,344.60 is: 3,227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.52 : 3,709.06 = 2,344.60 : x
  2. Step 2: Convert to fraction form
    2,694.52/3,709.06 = 2,344.60/x
  3. Step 3: Cross multiply
    2,694.52x = 3,709.06 × 2,344.60
  4. Step 4: Simplify right side
    2,694.52x = 8,696,262.08
  5. Step 5: Solve for x
    x = 8,696,262.08/2,694.52
  6. Step 6: Final answer
    x = 3,227.39

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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.