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Finding the Fourth Proportional to 2,112.64, 3,169.40 and 814.48

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Solution

The fourth proportional to 2,112.64, 3,169.40 and 814.48 is: 1,221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.64 : 3,169.40 = 814.48 : x
  2. Step 2: Convert to fraction form
    2,112.64/3,169.40 = 814.48/x
  3. Step 3: Cross multiply
    2,112.64x = 3,169.40 × 814.48
  4. Step 4: Simplify right side
    2,112.64x = 2,581,412.91
  5. Step 5: Solve for x
    x = 2,581,412.91/2,112.64
  6. Step 6: Final answer
    x = 1,221.89

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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.