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Finding the Fourth Proportional to 3,131.87, 4,692.68 and 1,899.68

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Solution

The fourth proportional to 3,131.87, 4,692.68 and 1,899.68 is: 2,846.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.87 : 4,692.68 = 1,899.68 : x
  2. Step 2: Convert to fraction form
    3,131.87/4,692.68 = 1,899.68/x
  3. Step 3: Cross multiply
    3,131.87x = 4,692.68 × 1,899.68
  4. Step 4: Simplify right side
    3,131.87x = 8,914,580.84
  5. Step 5: Solve for x
    x = 8,914,580.84/3,131.87
  6. Step 6: Final answer
    x = 2,846.41

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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.