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Finding the Fourth Proportional to 2,344.26, 3,515.23 and 783.73

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Solution

The fourth proportional to 2,344.26, 3,515.23 and 783.73 is: 1,175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.26 : 3,515.23 = 783.73 : x
  2. Step 2: Convert to fraction form
    2,344.26/3,515.23 = 783.73/x
  3. Step 3: Cross multiply
    2,344.26x = 3,515.23 × 783.73
  4. Step 4: Simplify right side
    2,344.26x = 2,754,996.58
  5. Step 5: Solve for x
    x = 2,754,996.58/2,344.26
  6. Step 6: Final answer
    x = 1,175.21

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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.