Home / 2,132.12-3,197.09-976.88

Finding the Fourth Proportional to 2,132.12, 3,197.09 and 976.88

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Solution

The fourth proportional to 2,132.12, 3,197.09 and 976.88 is: 1,464.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.12 : 3,197.09 = 976.88 : x
  2. Step 2: Convert to fraction form
    2,132.12/3,197.09 = 976.88/x
  3. Step 3: Cross multiply
    2,132.12x = 3,197.09 × 976.88
  4. Step 4: Simplify right side
    2,132.12x = 3,123,173.28
  5. Step 5: Solve for x
    x = 3,123,173.28/2,132.12
  6. Step 6: Final answer
    x = 1,464.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.