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Finding the Fourth Proportional to 1,491.44, 2,233.92 and 1,450.64

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Solution

The fourth proportional to 1,491.44, 2,233.92 and 1,450.64 is: 2,172.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.44 : 2,233.92 = 1,450.64 : x
  2. Step 2: Convert to fraction form
    1,491.44/2,233.92 = 1,450.64/x
  3. Step 3: Cross multiply
    1,491.44x = 2,233.92 × 1,450.64
  4. Step 4: Simplify right side
    1,491.44x = 3,240,613.71
  5. Step 5: Solve for x
    x = 3,240,613.71/1,491.44
  6. Step 6: Final answer
    x = 2,172.81

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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.