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Finding the Fourth Proportional to 2,168.60, 3,251.97 and 1,475.64

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Solution

The fourth proportional to 2,168.60, 3,251.97 and 1,475.64 is: 2,212.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.60 : 3,251.97 = 1,475.64 : x
  2. Step 2: Convert to fraction form
    2,168.60/3,251.97 = 1,475.64/x
  3. Step 3: Cross multiply
    2,168.60x = 3,251.97 × 1,475.64
  4. Step 4: Simplify right side
    2,168.60x = 4,798,737.01
  5. Step 5: Solve for x
    x = 4,798,737.01/2,168.60
  6. Step 6: Final answer
    x = 2,212.83

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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.