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Finding the Fourth Proportional to 2,674.66, 4,013.51 and 1,442.04

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Solution

The fourth proportional to 2,674.66, 4,013.51 and 1,442.04 is: 2,163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.66 : 4,013.51 = 1,442.04 : x
  2. Step 2: Convert to fraction form
    2,674.66/4,013.51 = 1,442.04/x
  3. Step 3: Cross multiply
    2,674.66x = 4,013.51 × 1,442.04
  4. Step 4: Simplify right side
    2,674.66x = 5,787,634.75
  5. Step 5: Solve for x
    x = 5,787,634.75/2,674.66
  6. Step 6: Final answer
    x = 2,163.88

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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.