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Finding the Fourth Proportional to 2,624.27, 3,939.13 and 1,164.44

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Solution

The fourth proportional to 2,624.27, 3,939.13 and 1,164.44 is: 1,747.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.27 : 3,939.13 = 1,164.44 : x
  2. Step 2: Convert to fraction form
    2,624.27/3,939.13 = 1,164.44/x
  3. Step 3: Cross multiply
    2,624.27x = 3,939.13 × 1,164.44
  4. Step 4: Simplify right side
    2,624.27x = 4,586,887.47
  5. Step 5: Solve for x
    x = 4,586,887.47/2,624.27
  6. Step 6: Final answer
    x = 1,747.88

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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.