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Finding the Fourth Proportional to 2,083.76, 2,874.54 and 1,244.20

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Solution

The fourth proportional to 2,083.76, 2,874.54 and 1,244.20 is: 1,716.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.76 : 2,874.54 = 1,244.20 : x
  2. Step 2: Convert to fraction form
    2,083.76/2,874.54 = 1,244.20/x
  3. Step 3: Cross multiply
    2,083.76x = 2,874.54 × 1,244.20
  4. Step 4: Simplify right side
    2,083.76x = 3,576,502.67
  5. Step 5: Solve for x
    x = 3,576,502.67/2,083.76
  6. Step 6: Final answer
    x = 1,716.37

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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.