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Finding the Fourth Proportional to 2,083.69, 2,874.99 and 1,297.18

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Solution

The fourth proportional to 2,083.69, 2,874.99 and 1,297.18 is: 1,789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.69 : 2,874.99 = 1,297.18 : x
  2. Step 2: Convert to fraction form
    2,083.69/2,874.99 = 1,297.18/x
  3. Step 3: Cross multiply
    2,083.69x = 2,874.99 × 1,297.18
  4. Step 4: Simplify right side
    2,083.69x = 3,729,379.53
  5. Step 5: Solve for x
    x = 3,729,379.53/2,083.69
  6. Step 6: Final answer
    x = 1,789.80

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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.