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Finding the Fourth Proportional to 2,576.46, 3,858.82 and 2,017.68

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Solution

The fourth proportional to 2,576.46, 3,858.82 and 2,017.68 is: 3,021.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.46 : 3,858.82 = 2,017.68 : x
  2. Step 2: Convert to fraction form
    2,576.46/3,858.82 = 2,017.68/x
  3. Step 3: Cross multiply
    2,576.46x = 3,858.82 × 2,017.68
  4. Step 4: Simplify right side
    2,576.46x = 7,785,863.94
  5. Step 5: Solve for x
    x = 7,785,863.94/2,576.46
  6. Step 6: Final answer
    x = 3,021.92

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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.