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Finding the Fourth Proportional to 2,243.03, 3,364.50 and 1,009.57

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Solution

The fourth proportional to 2,243.03, 3,364.50 and 1,009.57 is: 1,514.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.03 : 3,364.50 = 1,009.57 : x
  2. Step 2: Convert to fraction form
    2,243.03/3,364.50 = 1,009.57/x
  3. Step 3: Cross multiply
    2,243.03x = 3,364.50 × 1,009.57
  4. Step 4: Simplify right side
    2,243.03x = 3,396,698.27
  5. Step 5: Solve for x
    x = 3,396,698.27/2,243.03
  6. Step 6: Final answer
    x = 1,514.33

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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.