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Finding the Fourth Proportional to 1,855.22, 2,782.54 and 685.78

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Solution

The fourth proportional to 1,855.22, 2,782.54 and 685.78 is: 1,028.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.22 : 2,782.54 = 685.78 : x
  2. Step 2: Convert to fraction form
    1,855.22/2,782.54 = 685.78/x
  3. Step 3: Cross multiply
    1,855.22x = 2,782.54 × 685.78
  4. Step 4: Simplify right side
    1,855.22x = 1,908,201.61
  5. Step 5: Solve for x
    x = 1,908,201.61/1,855.22
  6. Step 6: Final answer
    x = 1,028.56

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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.