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Finding the Fourth Proportional to 3,026.46, 4,542.87 and 2,682

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Solution

The fourth proportional to 3,026.46, 4,542.87 and 2,682 is: 4,025.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.46 : 4,542.87 = 2,682 : x
  2. Step 2: Convert to fraction form
    3,026.46/4,542.87 = 2,682/x
  3. Step 3: Cross multiply
    3,026.46x = 4,542.87 × 2,682
  4. Step 4: Simplify right side
    3,026.46x = 12,183,977.34
  5. Step 5: Solve for x
    x = 12,183,977.34/3,026.46
  6. Step 6: Final answer
    x = 4,025.82

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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.