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Finding the Fourth Proportional to 2,137.41, 3,206.53 and 821.06

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Solution

The fourth proportional to 2,137.41, 3,206.53 and 821.06 is: 1,231.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.41 : 3,206.53 = 821.06 : x
  2. Step 2: Convert to fraction form
    2,137.41/3,206.53 = 821.06/x
  3. Step 3: Cross multiply
    2,137.41x = 3,206.53 × 821.06
  4. Step 4: Simplify right side
    2,137.41x = 2,632,757.43
  5. Step 5: Solve for x
    x = 2,632,757.43/2,137.41
  6. Step 6: Final answer
    x = 1,231.75

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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.