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Finding the Fourth Proportional to 2,770.80, 4,134.54 and 2,704.92

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Solution

The fourth proportional to 2,770.80, 4,134.54 and 2,704.92 is: 4,036.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.80 : 4,134.54 = 2,704.92 : x
  2. Step 2: Convert to fraction form
    2,770.80/4,134.54 = 2,704.92/x
  3. Step 3: Cross multiply
    2,770.80x = 4,134.54 × 2,704.92
  4. Step 4: Simplify right side
    2,770.80x = 11,183,599.94
  5. Step 5: Solve for x
    x = 11,183,599.94/2,770.80
  6. Step 6: Final answer
    x = 4,036.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.