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Finding the Fourth Proportional to 2,232.21, 3,348.86 and 672.21

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Solution

The fourth proportional to 2,232.21, 3,348.86 and 672.21 is: 1,008.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.21 : 3,348.86 = 672.21 : x
  2. Step 2: Convert to fraction form
    2,232.21/3,348.86 = 672.21/x
  3. Step 3: Cross multiply
    2,232.21x = 3,348.86 × 672.21
  4. Step 4: Simplify right side
    2,232.21x = 2,251,137.18
  5. Step 5: Solve for x
    x = 2,251,137.18/2,232.21
  6. Step 6: Final answer
    x = 1,008.48

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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.