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Finding the Fourth Proportional to 3,188, 4,399.36 and 1,771.69

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Solution

The fourth proportional to 3,188, 4,399.36 and 1,771.69 is: 2,444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188 : 4,399.36 = 1,771.69 : x
  2. Step 2: Convert to fraction form
    3,188/4,399.36 = 1,771.69/x
  3. Step 3: Cross multiply
    3,188x = 4,399.36 × 1,771.69
  4. Step 4: Simplify right side
    3,188x = 7,794,302.12
  5. Step 5: Solve for x
    x = 7,794,302.12/3,188
  6. Step 6: Final answer
    x = 2,444.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.