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Finding the Fourth Proportional to 2,383.67, 3,576.53 and 1,286.75

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Solution

The fourth proportional to 2,383.67, 3,576.53 and 1,286.75 is: 1,930.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.67 : 3,576.53 = 1,286.75 : x
  2. Step 2: Convert to fraction form
    2,383.67/3,576.53 = 1,286.75/x
  3. Step 3: Cross multiply
    2,383.67x = 3,576.53 × 1,286.75
  4. Step 4: Simplify right side
    2,383.67x = 4,602,112.14
  5. Step 5: Solve for x
    x = 4,602,112.14/2,383.67
  6. Step 6: Final answer
    x = 1,930.68

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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.