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Finding the Fourth Proportional to 1,685.26, 2,524.20 and 817.75

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Solution

The fourth proportional to 1,685.26, 2,524.20 and 817.75 is: 1,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.26 : 2,524.20 = 817.75 : x
  2. Step 2: Convert to fraction form
    1,685.26/2,524.20 = 817.75/x
  3. Step 3: Cross multiply
    1,685.26x = 2,524.20 × 817.75
  4. Step 4: Simplify right side
    1,685.26x = 2,064,164.55
  5. Step 5: Solve for x
    x = 2,064,164.55/1,685.26
  6. Step 6: Final answer
    x = 1,224.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.