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Finding the Fourth Proportional to 2,564.23, 3,846.95 and 832.86

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Solution

The fourth proportional to 2,564.23, 3,846.95 and 832.86 is: 1,249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.23 : 3,846.95 = 832.86 : x
  2. Step 2: Convert to fraction form
    2,564.23/3,846.95 = 832.86/x
  3. Step 3: Cross multiply
    2,564.23x = 3,846.95 × 832.86
  4. Step 4: Simplify right side
    2,564.23x = 3,203,970.78
  5. Step 5: Solve for x
    x = 3,203,970.78/2,564.23
  6. Step 6: Final answer
    x = 1,249.49

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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.