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Finding the Fourth Proportional to 1,450.67, 2,001.46 and 890.87

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Solution

The fourth proportional to 1,450.67, 2,001.46 and 890.87 is: 1,229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.67 : 2,001.46 = 890.87 : x
  2. Step 2: Convert to fraction form
    1,450.67/2,001.46 = 890.87/x
  3. Step 3: Cross multiply
    1,450.67x = 2,001.46 × 890.87
  4. Step 4: Simplify right side
    1,450.67x = 1,783,040.67
  5. Step 5: Solve for x
    x = 1,783,040.67/1,450.67
  6. Step 6: Final answer
    x = 1,229.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.