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Finding the Fourth Proportional to 2,236.14, 3,354.80 and 849.49

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Solution

The fourth proportional to 2,236.14, 3,354.80 and 849.49 is: 1,274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.14 : 3,354.80 = 849.49 : x
  2. Step 2: Convert to fraction form
    2,236.14/3,354.80 = 849.49/x
  3. Step 3: Cross multiply
    2,236.14x = 3,354.80 × 849.49
  4. Step 4: Simplify right side
    2,236.14x = 2,849,869.05
  5. Step 5: Solve for x
    x = 2,849,869.05/2,236.14
  6. Step 6: Final answer
    x = 1,274.46

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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.