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Finding the Fourth Proportional to 2,832.64, 4,249.16 and 983.51

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Solution

The fourth proportional to 2,832.64, 4,249.16 and 983.51 is: 1,475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.64 : 4,249.16 = 983.51 : x
  2. Step 2: Convert to fraction form
    2,832.64/4,249.16 = 983.51/x
  3. Step 3: Cross multiply
    2,832.64x = 4,249.16 × 983.51
  4. Step 4: Simplify right side
    2,832.64x = 4,179,100.75
  5. Step 5: Solve for x
    x = 4,179,100.75/2,832.64
  6. Step 6: Final answer
    x = 1,475.34

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1.5x scale

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.