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Finding the Fourth Proportional to 1,296.92, 1,794.30 and 1,141.94

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Solution

The fourth proportional to 1,296.92, 1,794.30 and 1,141.94 is: 1,579.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.92 : 1,794.30 = 1,141.94 : x
  2. Step 2: Convert to fraction form
    1,296.92/1,794.30 = 1,141.94/x
  3. Step 3: Cross multiply
    1,296.92x = 1,794.30 × 1,141.94
  4. Step 4: Simplify right side
    1,296.92x = 2,048,982.94
  5. Step 5: Solve for x
    x = 2,048,982.94/1,296.92
  6. Step 6: Final answer
    x = 1,579.88

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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.