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Finding the Fourth Proportional to 1,855.53, 2,783.43 and 685.17

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Solution

The fourth proportional to 1,855.53, 2,783.43 and 685.17 is: 1,027.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.53 : 2,783.43 = 685.17 : x
  2. Step 2: Convert to fraction form
    1,855.53/2,783.43 = 685.17/x
  3. Step 3: Cross multiply
    1,855.53x = 2,783.43 × 685.17
  4. Step 4: Simplify right side
    1,855.53x = 1,907,122.73
  5. Step 5: Solve for x
    x = 1,907,122.73/1,855.53
  6. Step 6: Final answer
    x = 1,027.80

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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.