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Finding the Fourth Proportional to 2,067.76, 3,102.06 and 1,861.22

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Solution

The fourth proportional to 2,067.76, 3,102.06 and 1,861.22 is: 2,792.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.76 : 3,102.06 = 1,861.22 : x
  2. Step 2: Convert to fraction form
    2,067.76/3,102.06 = 1,861.22/x
  3. Step 3: Cross multiply
    2,067.76x = 3,102.06 × 1,861.22
  4. Step 4: Simplify right side
    2,067.76x = 5,773,616.11
  5. Step 5: Solve for x
    x = 5,773,616.11/2,067.76
  6. Step 6: Final answer
    x = 2,792.21

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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.