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Finding the Fourth Proportional to 2,644.08, 3,647.12 and 2,083.68

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Solution

The fourth proportional to 2,644.08, 3,647.12 and 2,083.68 is: 2,874.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.08 : 3,647.12 = 2,083.68 : x
  2. Step 2: Convert to fraction form
    2,644.08/3,647.12 = 2,083.68/x
  3. Step 3: Cross multiply
    2,644.08x = 3,647.12 × 2,083.68
  4. Step 4: Simplify right side
    2,644.08x = 7,599,431.00
  5. Step 5: Solve for x
    x = 7,599,431.00/2,644.08
  6. Step 6: Final answer
    x = 2,874.13

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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.