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Finding the Fourth Proportional to 2,644.10, 3,966.20 and 889.12

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Solution

The fourth proportional to 2,644.10, 3,966.20 and 889.12 is: 1,333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.10 : 3,966.20 = 889.12 : x
  2. Step 2: Convert to fraction form
    2,644.10/3,966.20 = 889.12/x
  3. Step 3: Cross multiply
    2,644.10x = 3,966.20 × 889.12
  4. Step 4: Simplify right side
    2,644.10x = 3,526,429.97
  5. Step 5: Solve for x
    x = 3,526,429.97/2,644.10
  6. Step 6: Final answer
    x = 1,333.70

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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.