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Finding the Fourth Proportional to 2,644.69, 3,971.21 and 2,101.43

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Solution

The fourth proportional to 2,644.69, 3,971.21 and 2,101.43 is: 3,155.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.69 : 3,971.21 = 2,101.43 : x
  2. Step 2: Convert to fraction form
    2,644.69/3,971.21 = 2,101.43/x
  3. Step 3: Cross multiply
    2,644.69x = 3,971.21 × 2,101.43
  4. Step 4: Simplify right side
    2,644.69x = 8,345,219.83
  5. Step 5: Solve for x
    x = 8,345,219.83/2,644.69
  6. Step 6: Final answer
    x = 3,155.46

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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.