Home / 2,120.80-3,182.48-966.56

Finding the Fourth Proportional to 2,120.80, 3,182.48 and 966.56

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Solution

The fourth proportional to 2,120.80, 3,182.48 and 966.56 is: 1,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.80 : 3,182.48 = 966.56 : x
  2. Step 2: Convert to fraction form
    2,120.80/3,182.48 = 966.56/x
  3. Step 3: Cross multiply
    2,120.80x = 3,182.48 × 966.56
  4. Step 4: Simplify right side
    2,120.80x = 3,076,057.87
  5. Step 5: Solve for x
    x = 3,076,057.87/2,120.80
  6. Step 6: Final answer
    x = 1,450.42

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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.