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Finding the Fourth Proportional to 2,468.94, 3,696.22 and 1,296.17

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Solution

The fourth proportional to 2,468.94, 3,696.22 and 1,296.17 is: 1,940.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.94 : 3,696.22 = 1,296.17 : x
  2. Step 2: Convert to fraction form
    2,468.94/3,696.22 = 1,296.17/x
  3. Step 3: Cross multiply
    2,468.94x = 3,696.22 × 1,296.17
  4. Step 4: Simplify right side
    2,468.94x = 4,790,929.48
  5. Step 5: Solve for x
    x = 4,790,929.48/2,468.94
  6. Step 6: Final answer
    x = 1,940.48

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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.