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Finding the Fourth Proportional to 4,255.50, 6,383.64 and 1,177.50

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Solution

The fourth proportional to 4,255.50, 6,383.64 and 1,177.50 is: 1,766.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,255.50 : 6,383.64 = 1,177.50 : x
  2. Step 2: Convert to fraction form
    4,255.50/6,383.64 = 1,177.50/x
  3. Step 3: Cross multiply
    4,255.50x = 6,383.64 × 1,177.50
  4. Step 4: Simplify right side
    4,255.50x = 7,516,736.10
  5. Step 5: Solve for x
    x = 7,516,736.10/4,255.50
  6. Step 6: Final answer
    x = 1,766.36

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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.