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Finding the Fourth Proportional to 2,837.99, 4,255.67 and 1,193.63

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Solution

The fourth proportional to 2,837.99, 4,255.67 and 1,193.63 is: 1,789.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.99 : 4,255.67 = 1,193.63 : x
  2. Step 2: Convert to fraction form
    2,837.99/4,255.67 = 1,193.63/x
  3. Step 3: Cross multiply
    2,837.99x = 4,255.67 × 1,193.63
  4. Step 4: Simplify right side
    2,837.99x = 5,079,668.14
  5. Step 5: Solve for x
    x = 5,079,668.14/2,837.99
  6. Step 6: Final answer
    x = 1,789.89

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1.5x scale

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.