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Finding the Fourth Proportional to 2,874.85, 4,305.96 and 2,135.62

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Solution

The fourth proportional to 2,874.85, 4,305.96 and 2,135.62 is: 3,198.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.85 : 4,305.96 = 2,135.62 : x
  2. Step 2: Convert to fraction form
    2,874.85/4,305.96 = 2,135.62/x
  3. Step 3: Cross multiply
    2,874.85x = 4,305.96 × 2,135.62
  4. Step 4: Simplify right side
    2,874.85x = 9,195,907.34
  5. Step 5: Solve for x
    x = 9,195,907.34/2,874.85
  6. Step 6: Final answer
    x = 3,198.74

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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.