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Finding the Fourth Proportional to 1,446.12, 2,169.09 and 623.81

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Solution

The fourth proportional to 1,446.12, 2,169.09 and 623.81 is: 935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.12 : 2,169.09 = 623.81 : x
  2. Step 2: Convert to fraction form
    1,446.12/2,169.09 = 623.81/x
  3. Step 3: Cross multiply
    1,446.12x = 2,169.09 × 623.81
  4. Step 4: Simplify right side
    1,446.12x = 1,353,105.46
  5. Step 5: Solve for x
    x = 1,353,105.46/1,446.12
  6. Step 6: Final answer
    x = 935.68

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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.