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Finding the Fourth Proportional to 2,794.90, 3,857.19 and 1,802.24

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Solution

The fourth proportional to 2,794.90, 3,857.19 and 1,802.24 is: 2,487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.90 : 3,857.19 = 1,802.24 : x
  2. Step 2: Convert to fraction form
    2,794.90/3,857.19 = 1,802.24/x
  3. Step 3: Cross multiply
    2,794.90x = 3,857.19 × 1,802.24
  4. Step 4: Simplify right side
    2,794.90x = 6,951,573.09
  5. Step 5: Solve for x
    x = 6,951,573.09/2,794.90
  6. Step 6: Final answer
    x = 2,487.24

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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.