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Finding the Fourth Proportional to 2,027.74, 3,042.82 and 873.49

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Solution

The fourth proportional to 2,027.74, 3,042.82 and 873.49 is: 1,310.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.74 : 3,042.82 = 873.49 : x
  2. Step 2: Convert to fraction form
    2,027.74/3,042.82 = 873.49/x
  3. Step 3: Cross multiply
    2,027.74x = 3,042.82 × 873.49
  4. Step 4: Simplify right side
    2,027.74x = 2,657,872.84
  5. Step 5: Solve for x
    x = 2,657,872.84/2,027.74
  6. Step 6: Final answer
    x = 1,310.76

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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.