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Finding the Fourth Proportional to 2,644.68, 3,966.20 and 2,181.26

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Solution

The fourth proportional to 2,644.68, 3,966.20 and 2,181.26 is: 3,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.68 : 3,966.20 = 2,181.26 : x
  2. Step 2: Convert to fraction form
    2,644.68/3,966.20 = 2,181.26/x
  3. Step 3: Cross multiply
    2,644.68x = 3,966.20 × 2,181.26
  4. Step 4: Simplify right side
    2,644.68x = 8,651,313.41
  5. Step 5: Solve for x
    x = 8,651,313.41/2,644.68
  6. Step 6: Final answer
    x = 3,271.21

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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.