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Finding the Fourth Proportional to 1,260.87, 1,894.37 and 1,190.93

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Solution

The fourth proportional to 1,260.87, 1,894.37 and 1,190.93 is: 1,789.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.87 : 1,894.37 = 1,190.93 : x
  2. Step 2: Convert to fraction form
    1,260.87/1,894.37 = 1,190.93/x
  3. Step 3: Cross multiply
    1,260.87x = 1,894.37 × 1,190.93
  4. Step 4: Simplify right side
    1,260.87x = 2,256,063.69
  5. Step 5: Solve for x
    x = 2,256,063.69/1,260.87
  6. Step 6: Final answer
    x = 1,789.30

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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.