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Finding the Fourth Proportional to 2,028.41, 2,799.22 and 1,242.44

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Solution

The fourth proportional to 2,028.41, 2,799.22 and 1,242.44 is: 1,714.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.41 : 2,799.22 = 1,242.44 : x
  2. Step 2: Convert to fraction form
    2,028.41/2,799.22 = 1,242.44/x
  3. Step 3: Cross multiply
    2,028.41x = 2,799.22 × 1,242.44
  4. Step 4: Simplify right side
    2,028.41x = 3,477,863.68
  5. Step 5: Solve for x
    x = 3,477,863.68/2,028.41
  6. Step 6: Final answer
    x = 1,714.57

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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.