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Finding the Fourth Proportional to 2,344.82, 3,517.16 and 613.45

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Solution

The fourth proportional to 2,344.82, 3,517.16 and 613.45 is: 920.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.82 : 3,517.16 = 613.45 : x
  2. Step 2: Convert to fraction form
    2,344.82/3,517.16 = 613.45/x
  3. Step 3: Cross multiply
    2,344.82x = 3,517.16 × 613.45
  4. Step 4: Simplify right side
    2,344.82x = 2,157,601.80
  5. Step 5: Solve for x
    x = 2,157,601.80/2,344.82
  6. Step 6: Final answer
    x = 920.16

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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.