Home / 2,122.24-3,182.16-966.88

Finding the Fourth Proportional to 2,122.24, 3,182.16 and 966.88

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Solution

The fourth proportional to 2,122.24, 3,182.16 and 966.88 is: 1,449.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.24 : 3,182.16 = 966.88 : x
  2. Step 2: Convert to fraction form
    2,122.24/3,182.16 = 966.88/x
  3. Step 3: Cross multiply
    2,122.24x = 3,182.16 × 966.88
  4. Step 4: Simplify right side
    2,122.24x = 3,076,766.86
  5. Step 5: Solve for x
    x = 3,076,766.86/2,122.24
  6. Step 6: Final answer
    x = 1,449.77

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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.