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Finding the Fourth Proportional to 2,832.96, 4,249.68 and 984

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Solution

The fourth proportional to 2,832.96, 4,249.68 and 984 is: 1,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.96 : 4,249.68 = 984 : x
  2. Step 2: Convert to fraction form
    2,832.96/4,249.68 = 984/x
  3. Step 3: Cross multiply
    2,832.96x = 4,249.68 × 984
  4. Step 4: Simplify right side
    2,832.96x = 4,181,685.12
  5. Step 5: Solve for x
    x = 4,181,685.12/2,832.96
  6. Step 6: Final answer
    x = 1,476.08

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Why These Related Problems?

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