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Finding the Fourth Proportional to 2,850.50, 3,933.71 and 1,591.54

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Solution

The fourth proportional to 2,850.50, 3,933.71 and 1,591.54 is: 2,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.50 : 3,933.71 = 1,591.54 : x
  2. Step 2: Convert to fraction form
    2,850.50/3,933.71 = 1,591.54/x
  3. Step 3: Cross multiply
    2,850.50x = 3,933.71 × 1,591.54
  4. Step 4: Simplify right side
    2,850.50x = 6,260,656.81
  5. Step 5: Solve for x
    x = 6,260,656.81/2,850.50
  6. Step 6: Final answer
    x = 2,196.34

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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.