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Finding the Fourth Proportional to 4,633.43, 6,950.46 and 1,631.11

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Solution

The fourth proportional to 4,633.43, 6,950.46 and 1,631.11 is: 2,446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.43 : 6,950.46 = 1,631.11 : x
  2. Step 2: Convert to fraction form
    4,633.43/6,950.46 = 1,631.11/x
  3. Step 3: Cross multiply
    4,633.43x = 6,950.46 × 1,631.11
  4. Step 4: Simplify right side
    4,633.43x = 11,336,960.73
  5. Step 5: Solve for x
    x = 11,336,960.73/4,633.43
  6. Step 6: Final answer
    x = 2,446.77

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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.