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Finding the Fourth Proportional to 1,697.14, 2,546.79 and 1,683.25

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Solution

The fourth proportional to 1,697.14, 2,546.79 and 1,683.25 is: 2,525.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.14 : 2,546.79 = 1,683.25 : x
  2. Step 2: Convert to fraction form
    1,697.14/2,546.79 = 1,683.25/x
  3. Step 3: Cross multiply
    1,697.14x = 2,546.79 × 1,683.25
  4. Step 4: Simplify right side
    1,697.14x = 4,286,884.27
  5. Step 5: Solve for x
    x = 4,286,884.27/1,697.14
  6. Step 6: Final answer
    x = 2,525.95

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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.