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Finding the Fourth Proportional to 2,832.76, 4,249.22 and 983.92

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Solution

The fourth proportional to 2,832.76, 4,249.22 and 983.92 is: 1,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.76 : 4,249.22 = 983.92 : x
  2. Step 2: Convert to fraction form
    2,832.76/4,249.22 = 983.92/x
  3. Step 3: Cross multiply
    2,832.76x = 4,249.22 × 983.92
  4. Step 4: Simplify right side
    2,832.76x = 4,180,892.54
  5. Step 5: Solve for x
    x = 4,180,892.54/2,832.76
  6. Step 6: Final answer
    x = 1,475.91

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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.