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Finding the Fourth Proportional to 2,771.00, 4,155.30 and 896.33

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Solution

The fourth proportional to 2,771.00, 4,155.30 and 896.33 is: 1,344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.00 : 4,155.30 = 896.33 : x
  2. Step 2: Convert to fraction form
    2,771.00/4,155.30 = 896.33/x
  3. Step 3: Cross multiply
    2,771.00x = 4,155.30 × 896.33
  4. Step 4: Simplify right side
    2,771.00x = 3,724,512.91
  5. Step 5: Solve for x
    x = 3,724,512.91/2,771.00
  6. Step 6: Final answer
    x = 1,344.11

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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.