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Finding the Fourth Proportional to 2,644.10, 3,966.18 and 1,819.92

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Solution

The fourth proportional to 2,644.10, 3,966.18 and 1,819.92 is: 2,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.10 : 3,966.18 = 1,819.92 : x
  2. Step 2: Convert to fraction form
    2,644.10/3,966.18 = 1,819.92/x
  3. Step 3: Cross multiply
    2,644.10x = 3,966.18 × 1,819.92
  4. Step 4: Simplify right side
    2,644.10x = 7,218,130.31
  5. Step 5: Solve for x
    x = 7,218,130.31/2,644.10
  6. Step 6: Final answer
    x = 2,729.90

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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.