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Finding the Fourth Proportional to 2,636.26, 3,945.75 and 2,348.26

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Solution

The fourth proportional to 2,636.26, 3,945.75 and 2,348.26 is: 3,514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.26 : 3,945.75 = 2,348.26 : x
  2. Step 2: Convert to fraction form
    2,636.26/3,945.75 = 2,348.26/x
  3. Step 3: Cross multiply
    2,636.26x = 3,945.75 × 2,348.26
  4. Step 4: Simplify right side
    2,636.26x = 9,265,646.90
  5. Step 5: Solve for x
    x = 9,265,646.90/2,636.26
  6. Step 6: Final answer
    x = 3,514.69

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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.