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Finding the Fourth Proportional to 2,738.43, 4,105.22 and 1,006.65

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Solution

The fourth proportional to 2,738.43, 4,105.22 and 1,006.65 is: 1,509.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.43 : 4,105.22 = 1,006.65 : x
  2. Step 2: Convert to fraction form
    2,738.43/4,105.22 = 1,006.65/x
  3. Step 3: Cross multiply
    2,738.43x = 4,105.22 × 1,006.65
  4. Step 4: Simplify right side
    2,738.43x = 4,132,514.68
  5. Step 5: Solve for x
    x = 4,132,514.68/2,738.43
  6. Step 6: Final answer
    x = 1,509.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.