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Finding the Fourth Proportional to 2,832.50, 4,247.72 and 983.12

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Solution

The fourth proportional to 2,832.50, 4,247.72 and 983.12 is: 1,474.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.50 : 4,247.72 = 983.12 : x
  2. Step 2: Convert to fraction form
    2,832.50/4,247.72 = 983.12/x
  3. Step 3: Cross multiply
    2,832.50x = 4,247.72 × 983.12
  4. Step 4: Simplify right side
    2,832.50x = 4,176,018.49
  5. Step 5: Solve for x
    x = 4,176,018.49/2,832.50
  6. Step 6: Final answer
    x = 1,474.32

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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.