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Finding the Fourth Proportional to 2,768.80, 4,154.01 and 821.05

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Solution

The fourth proportional to 2,768.80, 4,154.01 and 821.05 is: 1,231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.80 : 4,154.01 = 821.05 : x
  2. Step 2: Convert to fraction form
    2,768.80/4,154.01 = 821.05/x
  3. Step 3: Cross multiply
    2,768.80x = 4,154.01 × 821.05
  4. Step 4: Simplify right side
    2,768.80x = 3,410,649.91
  5. Step 5: Solve for x
    x = 3,410,649.91/2,768.80
  6. Step 6: Final answer
    x = 1,231.82

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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.