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Finding the Fourth Proportional to 2,728.01, 4,091.45 and 779.78

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Solution

The fourth proportional to 2,728.01, 4,091.45 and 779.78 is: 1,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.01 : 4,091.45 = 779.78 : x
  2. Step 2: Convert to fraction form
    2,728.01/4,091.45 = 779.78/x
  3. Step 3: Cross multiply
    2,728.01x = 4,091.45 × 779.78
  4. Step 4: Simplify right side
    2,728.01x = 3,190,406.52
  5. Step 5: Solve for x
    x = 3,190,406.52/2,728.01
  6. Step 6: Final answer
    x = 1,169.50

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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.