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Finding the Fourth Proportional to 2,832.96, 4,249.20 and 983.60

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Solution

The fourth proportional to 2,832.96, 4,249.20 and 983.60 is: 1,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.96 : 4,249.20 = 983.60 : x
  2. Step 2: Convert to fraction form
    2,832.96/4,249.20 = 983.60/x
  3. Step 3: Cross multiply
    2,832.96x = 4,249.20 × 983.60
  4. Step 4: Simplify right side
    2,832.96x = 4,179,513.12
  5. Step 5: Solve for x
    x = 4,179,513.12/2,832.96
  6. Step 6: Final answer
    x = 1,475.32

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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.