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Finding the Fourth Proportional to 2,832.72, 4,249.83 and 983.83

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Solution

The fourth proportional to 2,832.72, 4,249.83 and 983.83 is: 1,476.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.72 : 4,249.83 = 983.83 : x
  2. Step 2: Convert to fraction form
    2,832.72/4,249.83 = 983.83/x
  3. Step 3: Cross multiply
    2,832.72x = 4,249.83 × 983.83
  4. Step 4: Simplify right side
    2,832.72x = 4,181,110.25
  5. Step 5: Solve for x
    x = 4,181,110.25/2,832.72
  6. Step 6: Final answer
    x = 1,476.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.