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Finding the Fourth Proportional to 2,274.76, 3,412.44 and 814.08

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Solution

The fourth proportional to 2,274.76, 3,412.44 and 814.08 is: 1,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.76 : 3,412.44 = 814.08 : x
  2. Step 2: Convert to fraction form
    2,274.76/3,412.44 = 814.08/x
  3. Step 3: Cross multiply
    2,274.76x = 3,412.44 × 814.08
  4. Step 4: Simplify right side
    2,274.76x = 2,777,999.16
  5. Step 5: Solve for x
    x = 2,777,999.16/2,274.76
  6. Step 6: Final answer
    x = 1,221.23

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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.