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Finding the Fourth Proportional to 2,121.33, 3,182.76 and 951.24

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Solution

The fourth proportional to 2,121.33, 3,182.76 and 951.24 is: 1,427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.33 : 3,182.76 = 951.24 : x
  2. Step 2: Convert to fraction form
    2,121.33/3,182.76 = 951.24/x
  3. Step 3: Cross multiply
    2,121.33x = 3,182.76 × 951.24
  4. Step 4: Simplify right side
    2,121.33x = 3,027,568.62
  5. Step 5: Solve for x
    x = 3,027,568.62/2,121.33
  6. Step 6: Final answer
    x = 1,427.20

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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.