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Finding the Fourth Proportional to 1,896.14, 2,613.38 and 1,305.92

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Solution

The fourth proportional to 1,896.14, 2,613.38 and 1,305.92 is: 1,799.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.14 : 2,613.38 = 1,305.92 : x
  2. Step 2: Convert to fraction form
    1,896.14/2,613.38 = 1,305.92/x
  3. Step 3: Cross multiply
    1,896.14x = 2,613.38 × 1,305.92
  4. Step 4: Simplify right side
    1,896.14x = 3,412,865.21
  5. Step 5: Solve for x
    x = 3,412,865.21/1,896.14
  6. Step 6: Final answer
    x = 1,799.90

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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.