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Finding the Fourth Proportional to 3,047.41, 4,571.68 and 966.85

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Solution

The fourth proportional to 3,047.41, 4,571.68 and 966.85 is: 1,450.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.41 : 4,571.68 = 966.85 : x
  2. Step 2: Convert to fraction form
    3,047.41/4,571.68 = 966.85/x
  3. Step 3: Cross multiply
    3,047.41x = 4,571.68 × 966.85
  4. Step 4: Simplify right side
    3,047.41x = 4,420,145.21
  5. Step 5: Solve for x
    x = 4,420,145.21/3,047.41
  6. Step 6: Final answer
    x = 1,450.46

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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.