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Finding the Fourth Proportional to 2,094.44, 3,142.10 and 613.67

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Solution

The fourth proportional to 2,094.44, 3,142.10 and 613.67 is: 920.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.44 : 3,142.10 = 613.67 : x
  2. Step 2: Convert to fraction form
    2,094.44/3,142.10 = 613.67/x
  3. Step 3: Cross multiply
    2,094.44x = 3,142.10 × 613.67
  4. Step 4: Simplify right side
    2,094.44x = 1,928,209.44
  5. Step 5: Solve for x
    x = 1,928,209.44/2,094.44
  6. Step 6: Final answer
    x = 920.63

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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.