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Finding the Fourth Proportional to 2,761.16, 4,144.02 and 1,446.38

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Solution

The fourth proportional to 2,761.16, 4,144.02 and 1,446.38 is: 2,170.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.16 : 4,144.02 = 1,446.38 : x
  2. Step 2: Convert to fraction form
    2,761.16/4,144.02 = 1,446.38/x
  3. Step 3: Cross multiply
    2,761.16x = 4,144.02 × 1,446.38
  4. Step 4: Simplify right side
    2,761.16x = 5,993,827.65
  5. Step 5: Solve for x
    x = 5,993,827.65/2,761.16
  6. Step 6: Final answer
    x = 2,170.76

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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.