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Finding the Fourth Proportional to 2,564.32, 3,846.48 and 832.92

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Solution

The fourth proportional to 2,564.32, 3,846.48 and 832.92 is: 1,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.32 : 3,846.48 = 832.92 : x
  2. Step 2: Convert to fraction form
    2,564.32/3,846.48 = 832.92/x
  3. Step 3: Cross multiply
    2,564.32x = 3,846.48 × 832.92
  4. Step 4: Simplify right side
    2,564.32x = 3,203,810.12
  5. Step 5: Solve for x
    x = 3,203,810.12/2,564.32
  6. Step 6: Final answer
    x = 1,249.38

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Similar ratio
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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.