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Finding the Fourth Proportional to 3,190.50, 4,402.94 and 1,931.33

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Solution

The fourth proportional to 3,190.50, 4,402.94 and 1,931.33 is: 2,665.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.50 : 4,402.94 = 1,931.33 : x
  2. Step 2: Convert to fraction form
    3,190.50/4,402.94 = 1,931.33/x
  3. Step 3: Cross multiply
    3,190.50x = 4,402.94 × 1,931.33
  4. Step 4: Simplify right side
    3,190.50x = 8,503,530.11
  5. Step 5: Solve for x
    x = 8,503,530.11/3,190.50
  6. Step 6: Final answer
    x = 2,665.27

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