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Finding the Fourth Proportional to 2,010.92, 3,016.90 and 694.94

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Solution

The fourth proportional to 2,010.92, 3,016.90 and 694.94 is: 1,042.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.92 : 3,016.90 = 694.94 : x
  2. Step 2: Convert to fraction form
    2,010.92/3,016.90 = 694.94/x
  3. Step 3: Cross multiply
    2,010.92x = 3,016.90 × 694.94
  4. Step 4: Simplify right side
    2,010.92x = 2,096,564.49
  5. Step 5: Solve for x
    x = 2,096,564.49/2,010.92
  6. Step 6: Final answer
    x = 1,042.59

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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.