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Finding the Fourth Proportional to 2,144.75, 3,218.22 and 1,624.59

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Solution

The fourth proportional to 2,144.75, 3,218.22 and 1,624.59 is: 2,437.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.75 : 3,218.22 = 1,624.59 : x
  2. Step 2: Convert to fraction form
    2,144.75/3,218.22 = 1,624.59/x
  3. Step 3: Cross multiply
    2,144.75x = 3,218.22 × 1,624.59
  4. Step 4: Simplify right side
    2,144.75x = 5,228,288.03
  5. Step 5: Solve for x
    x = 5,228,288.03/2,144.75
  6. Step 6: Final answer
    x = 2,437.72

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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.