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Finding the Fourth Proportional to 2,802.06, 3,863.23 and 2,296.03

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Solution

The fourth proportional to 2,802.06, 3,863.23 and 2,296.03 is: 3,165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.06 : 3,863.23 = 2,296.03 : x
  2. Step 2: Convert to fraction form
    2,802.06/3,863.23 = 2,296.03/x
  3. Step 3: Cross multiply
    2,802.06x = 3,863.23 × 2,296.03
  4. Step 4: Simplify right side
    2,802.06x = 8,870,086.24
  5. Step 5: Solve for x
    x = 8,870,086.24/2,802.06
  6. Step 6: Final answer
    x = 3,165.56

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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.