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Finding the Fourth Proportional to 1,676.69, 2,516.25 and 855.65

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Solution

The fourth proportional to 1,676.69, 2,516.25 and 855.65 is: 1,284.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.69 : 2,516.25 = 855.65 : x
  2. Step 2: Convert to fraction form
    1,676.69/2,516.25 = 855.65/x
  3. Step 3: Cross multiply
    1,676.69x = 2,516.25 × 855.65
  4. Step 4: Simplify right side
    1,676.69x = 2,153,016.73
  5. Step 5: Solve for x
    x = 2,153,016.73/1,676.69
  6. Step 6: Final answer
    x = 1,284.09

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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.