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Finding the Fourth Proportional to 3,493.80, 4,822.46 and 2,078.48

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Solution

The fourth proportional to 3,493.80, 4,822.46 and 2,078.48 is: 2,868.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.80 : 4,822.46 = 2,078.48 : x
  2. Step 2: Convert to fraction form
    3,493.80/4,822.46 = 2,078.48/x
  3. Step 3: Cross multiply
    3,493.80x = 4,822.46 × 2,078.48
  4. Step 4: Simplify right side
    3,493.80x = 10,023,396.12
  5. Step 5: Solve for x
    x = 10,023,396.12/3,493.80
  6. Step 6: Final answer
    x = 2,868.91

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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.