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Finding the Fourth Proportional to 2,016.21, 3,024.67 and 920.69

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Solution

The fourth proportional to 2,016.21, 3,024.67 and 920.69 is: 1,381.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.21 : 3,024.67 = 920.69 : x
  2. Step 2: Convert to fraction form
    2,016.21/3,024.67 = 920.69/x
  3. Step 3: Cross multiply
    2,016.21x = 3,024.67 × 920.69
  4. Step 4: Simplify right side
    2,016.21x = 2,784,769.45
  5. Step 5: Solve for x
    x = 2,784,769.45/2,016.21
  6. Step 6: Final answer
    x = 1,381.19

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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.