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Finding the Fourth Proportional to 1,446.72, 2,169.03 and 830.31

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Solution

The fourth proportional to 1,446.72, 2,169.03 and 830.31 is: 1,244.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.72 : 2,169.03 = 830.31 : x
  2. Step 2: Convert to fraction form
    1,446.72/2,169.03 = 830.31/x
  3. Step 3: Cross multiply
    1,446.72x = 2,169.03 × 830.31
  4. Step 4: Simplify right side
    1,446.72x = 1,800,967.30
  5. Step 5: Solve for x
    x = 1,800,967.30/1,446.72
  6. Step 6: Final answer
    x = 1,244.86

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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.