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Finding the Fourth Proportional to 2,083.16, 2,874.80 and 1,244

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Solution

The fourth proportional to 2,083.16, 2,874.80 and 1,244 is: 1,716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.16 : 2,874.80 = 1,244 : x
  2. Step 2: Convert to fraction form
    2,083.16/2,874.80 = 1,244/x
  3. Step 3: Cross multiply
    2,083.16x = 2,874.80 × 1,244
  4. Step 4: Simplify right side
    2,083.16x = 3,576,251.20
  5. Step 5: Solve for x
    x = 3,576,251.20/2,083.16
  6. Step 6: Final answer
    x = 1,716.74

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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.