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Finding the Fourth Proportional to 2,563.72, 3,846.20 and 832.34

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Solution

The fourth proportional to 2,563.72, 3,846.20 and 832.34 is: 1,248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.72 : 3,846.20 = 832.34 : x
  2. Step 2: Convert to fraction form
    2,563.72/3,846.20 = 832.34/x
  3. Step 3: Cross multiply
    2,563.72x = 3,846.20 × 832.34
  4. Step 4: Simplify right side
    2,563.72x = 3,201,346.11
  5. Step 5: Solve for x
    x = 3,201,346.11/2,563.72
  6. Step 6: Final answer
    x = 1,248.71

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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.