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Finding the Fourth Proportional to 2,866.67, 4,299.46 and 1,017.71

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Solution

The fourth proportional to 2,866.67, 4,299.46 and 1,017.71 is: 1,526.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.67 : 4,299.46 = 1,017.71 : x
  2. Step 2: Convert to fraction form
    2,866.67/4,299.46 = 1,017.71/x
  3. Step 3: Cross multiply
    2,866.67x = 4,299.46 × 1,017.71
  4. Step 4: Simplify right side
    2,866.67x = 4,375,603.44
  5. Step 5: Solve for x
    x = 4,375,603.44/2,866.67
  6. Step 6: Final answer
    x = 1,526.37

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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.