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Finding the Fourth Proportional to 2,764.01, 3,814.24 and 1,644.69

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Solution

The fourth proportional to 2,764.01, 3,814.24 and 1,644.69 is: 2,269.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.01 : 3,814.24 = 1,644.69 : x
  2. Step 2: Convert to fraction form
    2,764.01/3,814.24 = 1,644.69/x
  3. Step 3: Cross multiply
    2,764.01x = 3,814.24 × 1,644.69
  4. Step 4: Simplify right side
    2,764.01x = 6,273,242.39
  5. Step 5: Solve for x
    x = 6,273,242.39/2,764.01
  6. Step 6: Final answer
    x = 2,269.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.