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Finding the Fourth Proportional to 2,797.12, 3,858.87 and 1,802.26

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Solution

The fourth proportional to 2,797.12, 3,858.87 and 1,802.26 is: 2,486.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.12 : 3,858.87 = 1,802.26 : x
  2. Step 2: Convert to fraction form
    2,797.12/3,858.87 = 1,802.26/x
  3. Step 3: Cross multiply
    2,797.12x = 3,858.87 × 1,802.26
  4. Step 4: Simplify right side
    2,797.12x = 6,954,687.05
  5. Step 5: Solve for x
    x = 6,954,687.05/2,797.12
  6. Step 6: Final answer
    x = 2,486.37

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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.