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Finding the Fourth Proportional to 2,344.50, 3,516.82 and 613.14

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Solution

The fourth proportional to 2,344.50, 3,516.82 and 613.14 is: 919.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.50 : 3,516.82 = 613.14 : x
  2. Step 2: Convert to fraction form
    2,344.50/3,516.82 = 613.14/x
  3. Step 3: Cross multiply
    2,344.50x = 3,516.82 × 613.14
  4. Step 4: Simplify right side
    2,344.50x = 2,156,303.01
  5. Step 5: Solve for x
    x = 2,156,303.01/2,344.50
  6. Step 6: Final answer
    x = 919.73

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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.