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Finding the Fourth Proportional to 3,171.63, 4,754.57 and 1,800.75

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Solution

The fourth proportional to 3,171.63, 4,754.57 and 1,800.75 is: 2,699.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.63 : 4,754.57 = 1,800.75 : x
  2. Step 2: Convert to fraction form
    3,171.63/4,754.57 = 1,800.75/x
  3. Step 3: Cross multiply
    3,171.63x = 4,754.57 × 1,800.75
  4. Step 4: Simplify right side
    3,171.63x = 8,561,782.92
  5. Step 5: Solve for x
    x = 8,561,782.92/3,171.63
  6. Step 6: Final answer
    x = 2,699.49

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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.