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Finding the Fourth Proportional to 2,806.26, 3,873.42 and 1,967.18

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Solution

The fourth proportional to 2,806.26, 3,873.42 and 1,967.18 is: 2,715.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.26 : 3,873.42 = 1,967.18 : x
  2. Step 2: Convert to fraction form
    2,806.26/3,873.42 = 1,967.18/x
  3. Step 3: Cross multiply
    2,806.26x = 3,873.42 × 1,967.18
  4. Step 4: Simplify right side
    2,806.26x = 7,619,714.36
  5. Step 5: Solve for x
    x = 7,619,714.36/2,806.26
  6. Step 6: Final answer
    x = 2,715.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.