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Finding the Fourth Proportional to 2,570.22, 3,855.33 and 622.42

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Solution

The fourth proportional to 2,570.22, 3,855.33 and 622.42 is: 933.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.22 : 3,855.33 = 622.42 : x
  2. Step 2: Convert to fraction form
    2,570.22/3,855.33 = 622.42/x
  3. Step 3: Cross multiply
    2,570.22x = 3,855.33 × 622.42
  4. Step 4: Simplify right side
    2,570.22x = 2,399,634.50
  5. Step 5: Solve for x
    x = 2,399,634.50/2,570.22
  6. Step 6: Final answer
    x = 933.63

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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.