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Finding the Fourth Proportional to 3,191.63, 4,785.57 and 1,241.54

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Solution

The fourth proportional to 3,191.63, 4,785.57 and 1,241.54 is: 1,861.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.63 : 4,785.57 = 1,241.54 : x
  2. Step 2: Convert to fraction form
    3,191.63/4,785.57 = 1,241.54/x
  3. Step 3: Cross multiply
    3,191.63x = 4,785.57 × 1,241.54
  4. Step 4: Simplify right side
    3,191.63x = 5,941,476.58
  5. Step 5: Solve for x
    x = 5,941,476.58/3,191.63
  6. Step 6: Final answer
    x = 1,861.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.