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Finding the Fourth Proportional to 4,229.58, 6,344.34 and 1,630.70

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Solution

The fourth proportional to 4,229.58, 6,344.34 and 1,630.70 is: 2,446.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.58 : 6,344.34 = 1,630.70 : x
  2. Step 2: Convert to fraction form
    4,229.58/6,344.34 = 1,630.70/x
  3. Step 3: Cross multiply
    4,229.58x = 6,344.34 × 1,630.70
  4. Step 4: Simplify right side
    4,229.58x = 10,345,715.24
  5. Step 5: Solve for x
    x = 10,345,715.24/4,229.58
  6. Step 6: Final answer
    x = 2,446.04

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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.