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Finding the Fourth Proportional to 2,644.21, 3,966.27 and 912.79

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Solution

The fourth proportional to 2,644.21, 3,966.27 and 912.79 is: 1,369.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.21 : 3,966.27 = 912.79 : x
  2. Step 2: Convert to fraction form
    2,644.21/3,966.27 = 912.79/x
  3. Step 3: Cross multiply
    2,644.21x = 3,966.27 × 912.79
  4. Step 4: Simplify right side
    2,644.21x = 3,620,371.59
  5. Step 5: Solve for x
    x = 3,620,371.59/2,644.21
  6. Step 6: Final answer
    x = 1,369.17

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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.