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Finding the Fourth Proportional to 3,171.94, 4,754.82 and 1,527.56

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Solution

The fourth proportional to 3,171.94, 4,754.82 and 1,527.56 is: 2,289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.94 : 4,754.82 = 1,527.56 : x
  2. Step 2: Convert to fraction form
    3,171.94/4,754.82 = 1,527.56/x
  3. Step 3: Cross multiply
    3,171.94x = 4,754.82 × 1,527.56
  4. Step 4: Simplify right side
    3,171.94x = 7,263,272.84
  5. Step 5: Solve for x
    x = 7,263,272.84/3,171.94
  6. Step 6: Final answer
    x = 2,289.85

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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.