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Finding the Fourth Proportional to 3,165.93, 4,747.23 and 1,850.13

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Solution

The fourth proportional to 3,165.93, 4,747.23 and 1,850.13 is: 2,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.93 : 4,747.23 = 1,850.13 : x
  2. Step 2: Convert to fraction form
    3,165.93/4,747.23 = 1,850.13/x
  3. Step 3: Cross multiply
    3,165.93x = 4,747.23 × 1,850.13
  4. Step 4: Simplify right side
    3,165.93x = 8,782,992.64
  5. Step 5: Solve for x
    x = 8,782,992.64/3,165.93
  6. Step 6: Final answer
    x = 2,774.22

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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.