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Finding the Fourth Proportional to 3,494.28, 4,822.26 and 1,922.44

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Solution

The fourth proportional to 3,494.28, 4,822.26 and 1,922.44 is: 2,653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.28 : 4,822.26 = 1,922.44 : x
  2. Step 2: Convert to fraction form
    3,494.28/4,822.26 = 1,922.44/x
  3. Step 3: Cross multiply
    3,494.28x = 4,822.26 × 1,922.44
  4. Step 4: Simplify right side
    3,494.28x = 9,270,505.51
  5. Step 5: Solve for x
    x = 9,270,505.51/3,494.28
  6. Step 6: Final answer
    x = 2,653.05

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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.