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Finding the Fourth Proportional to 3,402.27, 5,101.18 and 1,643.78

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Solution

The fourth proportional to 3,402.27, 5,101.18 and 1,643.78 is: 2,464.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.27 : 5,101.18 = 1,643.78 : x
  2. Step 2: Convert to fraction form
    3,402.27/5,101.18 = 1,643.78/x
  3. Step 3: Cross multiply
    3,402.27x = 5,101.18 × 1,643.78
  4. Step 4: Simplify right side
    3,402.27x = 8,385,226.30
  5. Step 5: Solve for x
    x = 8,385,226.30/3,402.27
  6. Step 6: Final answer
    x = 2,464.60

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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.