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Finding the Fourth Proportional to 2,286.41, 3,427.18 and 969.89

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Solution

The fourth proportional to 2,286.41, 3,427.18 and 969.89 is: 1,453.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.41 : 3,427.18 = 969.89 : x
  2. Step 2: Convert to fraction form
    2,286.41/3,427.18 = 969.89/x
  3. Step 3: Cross multiply
    2,286.41x = 3,427.18 × 969.89
  4. Step 4: Simplify right side
    2,286.41x = 3,323,968.05
  5. Step 5: Solve for x
    x = 3,323,968.05/2,286.41
  6. Step 6: Final answer
    x = 1,453.80

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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.