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Finding the Fourth Proportional to 3,468.98, 5,202.52 and 1,618.26

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Solution

The fourth proportional to 3,468.98, 5,202.52 and 1,618.26 is: 2,426.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.98 : 5,202.52 = 1,618.26 : x
  2. Step 2: Convert to fraction form
    3,468.98/5,202.52 = 1,618.26/x
  3. Step 3: Cross multiply
    3,468.98x = 5,202.52 × 1,618.26
  4. Step 4: Simplify right side
    3,468.98x = 8,419,030.02
  5. Step 5: Solve for x
    x = 8,419,030.02/3,468.98
  6. Step 6: Final answer
    x = 2,426.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.