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Finding the Fourth Proportional to 2,274.91, 3,412.33 and 735.91

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Solution

The fourth proportional to 2,274.91, 3,412.33 and 735.91 is: 1,103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.91 : 3,412.33 = 735.91 : x
  2. Step 2: Convert to fraction form
    2,274.91/3,412.33 = 735.91/x
  3. Step 3: Cross multiply
    2,274.91x = 3,412.33 × 735.91
  4. Step 4: Simplify right side
    2,274.91x = 2,511,157.40
  5. Step 5: Solve for x
    x = 2,511,157.40/2,274.91
  6. Step 6: Final answer
    x = 1,103.85

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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.