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Finding the Fourth Proportional to 2,800.44, 3,862.26 and 2,202.12

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Solution

The fourth proportional to 2,800.44, 3,862.26 and 2,202.12 is: 3,037.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.44 : 3,862.26 = 2,202.12 : x
  2. Step 2: Convert to fraction form
    2,800.44/3,862.26 = 2,202.12/x
  3. Step 3: Cross multiply
    2,800.44x = 3,862.26 × 2,202.12
  4. Step 4: Simplify right side
    2,800.44x = 8,505,159.99
  5. Step 5: Solve for x
    x = 8,505,159.99/2,800.44
  6. Step 6: Final answer
    x = 3,037.08

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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.