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Finding the Fourth Proportional to 2,777.80, 4,166.74 and 830.09

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Solution

The fourth proportional to 2,777.80, 4,166.74 and 830.09 is: 1,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.80 : 4,166.74 = 830.09 : x
  2. Step 2: Convert to fraction form
    2,777.80/4,166.74 = 830.09/x
  3. Step 3: Cross multiply
    2,777.80x = 4,166.74 × 830.09
  4. Step 4: Simplify right side
    2,777.80x = 3,458,769.21
  5. Step 5: Solve for x
    x = 3,458,769.21/2,777.80
  6. Step 6: Final answer
    x = 1,245.15

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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.