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Finding the Fourth Proportional to 2,083.86, 2,874.72 and 1,199.16

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Solution

The fourth proportional to 2,083.86, 2,874.72 and 1,199.16 is: 1,654.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.86 : 2,874.72 = 1,199.16 : x
  2. Step 2: Convert to fraction form
    2,083.86/2,874.72 = 1,199.16/x
  3. Step 3: Cross multiply
    2,083.86x = 2,874.72 × 1,199.16
  4. Step 4: Simplify right side
    2,083.86x = 3,447,249.24
  5. Step 5: Solve for x
    x = 3,447,249.24/2,083.86
  6. Step 6: Final answer
    x = 1,654.26

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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.