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Finding the Fourth Proportional to 2,006.72, 3,008.92 and 835.73

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Solution

The fourth proportional to 2,006.72, 3,008.92 and 835.73 is: 1,253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.72 : 3,008.92 = 835.73 : x
  2. Step 2: Convert to fraction form
    2,006.72/3,008.92 = 835.73/x
  3. Step 3: Cross multiply
    2,006.72x = 3,008.92 × 835.73
  4. Step 4: Simplify right side
    2,006.72x = 2,514,650.14
  5. Step 5: Solve for x
    x = 2,514,650.14/2,006.72
  6. Step 6: Final answer
    x = 1,253.12

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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.