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Finding the Fourth Proportional to 4,327.05, 6,490.68 and 1,694.46

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Solution

The fourth proportional to 4,327.05, 6,490.68 and 1,694.46 is: 2,541.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.05 : 6,490.68 = 1,694.46 : x
  2. Step 2: Convert to fraction form
    4,327.05/6,490.68 = 1,694.46/x
  3. Step 3: Cross multiply
    4,327.05x = 6,490.68 × 1,694.46
  4. Step 4: Simplify right side
    4,327.05x = 10,998,197.63
  5. Step 5: Solve for x
    x = 10,998,197.63/4,327.05
  6. Step 6: Final answer
    x = 2,541.73

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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.