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Finding the Fourth Proportional to 2,404.26, 3,605.40 and 843.93

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Solution

The fourth proportional to 2,404.26, 3,605.40 and 843.93 is: 1,265.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.26 : 3,605.40 = 843.93 : x
  2. Step 2: Convert to fraction form
    2,404.26/3,605.40 = 843.93/x
  3. Step 3: Cross multiply
    2,404.26x = 3,605.40 × 843.93
  4. Step 4: Simplify right side
    2,404.26x = 3,042,705.22
  5. Step 5: Solve for x
    x = 3,042,705.22/2,404.26
  6. Step 6: Final answer
    x = 1,265.55

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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.