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Finding the Fourth Proportional to 3,166.02, 4,745.39 and 1,431

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Solution

The fourth proportional to 3,166.02, 4,745.39 and 1,431 is: 2,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.02 : 4,745.39 = 1,431 : x
  2. Step 2: Convert to fraction form
    3,166.02/4,745.39 = 1,431/x
  3. Step 3: Cross multiply
    3,166.02x = 4,745.39 × 1,431
  4. Step 4: Simplify right side
    3,166.02x = 6,790,645.94
  5. Step 5: Solve for x
    x = 6,790,645.94/3,166.02
  6. Step 6: Final answer
    x = 2,144.85

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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.