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Finding the Fourth Proportional to 2,116.68, 3,175.83 and 819.06

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Solution

The fourth proportional to 2,116.68, 3,175.83 and 819.06 is: 1,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.68 : 3,175.83 = 819.06 : x
  2. Step 2: Convert to fraction form
    2,116.68/3,175.83 = 819.06/x
  3. Step 3: Cross multiply
    2,116.68x = 3,175.83 × 819.06
  4. Step 4: Simplify right side
    2,116.68x = 2,601,195.32
  5. Step 5: Solve for x
    x = 2,601,195.32/2,116.68
  6. Step 6: Final answer
    x = 1,228.90

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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.