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Finding the Fourth Proportional to 4,294.46, 6,441.64 and 1,697.38

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Solution

The fourth proportional to 4,294.46, 6,441.64 and 1,697.38 is: 2,546.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.46 : 6,441.64 = 1,697.38 : x
  2. Step 2: Convert to fraction form
    4,294.46/6,441.64 = 1,697.38/x
  3. Step 3: Cross multiply
    4,294.46x = 6,441.64 × 1,697.38
  4. Step 4: Simplify right side
    4,294.46x = 10,933,910.90
  5. Step 5: Solve for x
    x = 10,933,910.90/4,294.46
  6. Step 6: Final answer
    x = 2,546.05

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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.