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Finding the Fourth Proportional to 2,047.80, 3,072.39 and 814.88

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Solution

The fourth proportional to 2,047.80, 3,072.39 and 814.88 is: 1,222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.80 : 3,072.39 = 814.88 : x
  2. Step 2: Convert to fraction form
    2,047.80/3,072.39 = 814.88/x
  3. Step 3: Cross multiply
    2,047.80x = 3,072.39 × 814.88
  4. Step 4: Simplify right side
    2,047.80x = 2,503,633.79
  5. Step 5: Solve for x
    x = 2,503,633.79/2,047.80
  6. Step 6: Final answer
    x = 1,222.59

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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.