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Finding the Fourth Proportional to 3,514.67, 4,850.25 and 1,942.77

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Solution

The fourth proportional to 3,514.67, 4,850.25 and 1,942.77 is: 2,681.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.67 : 4,850.25 = 1,942.77 : x
  2. Step 2: Convert to fraction form
    3,514.67/4,850.25 = 1,942.77/x
  3. Step 3: Cross multiply
    3,514.67x = 4,850.25 × 1,942.77
  4. Step 4: Simplify right side
    3,514.67x = 9,422,920.19
  5. Step 5: Solve for x
    x = 9,422,920.19/3,514.67
  6. Step 6: Final answer
    x = 2,681.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.