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Finding the Fourth Proportional to 2,064.84, 2,849.19 and 1,213.73

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Solution

The fourth proportional to 2,064.84, 2,849.19 and 1,213.73 is: 1,674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.84 : 2,849.19 = 1,213.73 : x
  2. Step 2: Convert to fraction form
    2,064.84/2,849.19 = 1,213.73/x
  3. Step 3: Cross multiply
    2,064.84x = 2,849.19 × 1,213.73
  4. Step 4: Simplify right side
    2,064.84x = 3,458,147.38
  5. Step 5: Solve for x
    x = 3,458,147.38/2,064.84
  6. Step 6: Final answer
    x = 1,674.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.