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Finding the Fourth Proportional to 2,961.90, 4,068.50 and 2,874.42

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Solution

The fourth proportional to 2,961.90, 4,068.50 and 2,874.42 is: 3,948.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.90 : 4,068.50 = 2,874.42 : x
  2. Step 2: Convert to fraction form
    2,961.90/4,068.50 = 2,874.42/x
  3. Step 3: Cross multiply
    2,961.90x = 4,068.50 × 2,874.42
  4. Step 4: Simplify right side
    2,961.90x = 11,694,563.40
  5. Step 5: Solve for x
    x = 11,694,563.40/2,961.90
  6. Step 6: Final answer
    x = 3,948.33

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.