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Finding the Fourth Proportional to 2,832.52, 4,249.36 and 983.38

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Solution

The fourth proportional to 2,832.52, 4,249.36 and 983.38 is: 1,475.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.52 : 4,249.36 = 983.38 : x
  2. Step 2: Convert to fraction form
    2,832.52/4,249.36 = 983.38/x
  3. Step 3: Cross multiply
    2,832.52x = 4,249.36 × 983.38
  4. Step 4: Simplify right side
    2,832.52x = 4,178,735.64
  5. Step 5: Solve for x
    x = 4,178,735.64/2,832.52
  6. Step 6: Final answer
    x = 1,475.27

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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.