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Finding the Fourth Proportional to 3,182.04, 4,771.80 and 960.18

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Solution

The fourth proportional to 3,182.04, 4,771.80 and 960.18 is: 1,439.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.04 : 4,771.80 = 960.18 : x
  2. Step 2: Convert to fraction form
    3,182.04/4,771.80 = 960.18/x
  3. Step 3: Cross multiply
    3,182.04x = 4,771.80 × 960.18
  4. Step 4: Simplify right side
    3,182.04x = 4,581,786.92
  5. Step 5: Solve for x
    x = 4,581,786.92/3,182.04
  6. Step 6: Final answer
    x = 1,439.89

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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.