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Finding the Fourth Proportional to 1,828.72, 2,744.24 and 963.64

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Solution

The fourth proportional to 1,828.72, 2,744.24 and 963.64 is: 1,446.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.72 : 2,744.24 = 963.64 : x
  2. Step 2: Convert to fraction form
    1,828.72/2,744.24 = 963.64/x
  3. Step 3: Cross multiply
    1,828.72x = 2,744.24 × 963.64
  4. Step 4: Simplify right side
    1,828.72x = 2,644,459.43
  5. Step 5: Solve for x
    x = 2,644,459.43/1,828.72
  6. Step 6: Final answer
    x = 1,446.07

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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.