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Finding the Fourth Proportional to 3,494.25, 4,822.08 and 1,922.37

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Solution

The fourth proportional to 3,494.25, 4,822.08 and 1,922.37 is: 2,652.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.25 : 4,822.08 = 1,922.37 : x
  2. Step 2: Convert to fraction form
    3,494.25/4,822.08 = 1,922.37/x
  3. Step 3: Cross multiply
    3,494.25x = 4,822.08 × 1,922.37
  4. Step 4: Simplify right side
    3,494.25x = 9,269,821.93
  5. Step 5: Solve for x
    x = 9,269,821.93/3,494.25
  6. Step 6: Final answer
    x = 2,652.88

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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.