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Finding the Fourth Proportional to 2,850.96, 3,933.40 and 1,591.81

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Solution

The fourth proportional to 2,850.96, 3,933.40 and 1,591.81 is: 2,196.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.96 : 3,933.40 = 1,591.81 : x
  2. Step 2: Convert to fraction form
    2,850.96/3,933.40 = 1,591.81/x
  3. Step 3: Cross multiply
    2,850.96x = 3,933.40 × 1,591.81
  4. Step 4: Simplify right side
    2,850.96x = 6,261,225.45
  5. Step 5: Solve for x
    x = 6,261,225.45/2,850.96
  6. Step 6: Final answer
    x = 2,196.18

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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.