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Finding the Fourth Proportional to 4,114.50, 6,174.18 and 1,774.44

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Solution

The fourth proportional to 4,114.50, 6,174.18 and 1,774.44 is: 2,662.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.50 : 6,174.18 = 1,774.44 : x
  2. Step 2: Convert to fraction form
    4,114.50/6,174.18 = 1,774.44/x
  3. Step 3: Cross multiply
    4,114.50x = 6,174.18 × 1,774.44
  4. Step 4: Simplify right side
    4,114.50x = 10,955,711.96
  5. Step 5: Solve for x
    x = 10,955,711.96/4,114.50
  6. Step 6: Final answer
    x = 2,662.71

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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.