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Finding the Fourth Proportional to 3,137.05, 4,703.73 and 1,188.80

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Solution

The fourth proportional to 3,137.05, 4,703.73 and 1,188.80 is: 1,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.05 : 4,703.73 = 1,188.80 : x
  2. Step 2: Convert to fraction form
    3,137.05/4,703.73 = 1,188.80/x
  3. Step 3: Cross multiply
    3,137.05x = 4,703.73 × 1,188.80
  4. Step 4: Simplify right side
    3,137.05x = 5,591,794.22
  5. Step 5: Solve for x
    x = 5,591,794.22/3,137.05
  6. Step 6: Final answer
    x = 1,782.50

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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.