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Finding the Fourth Proportional to 3,045, 4,202.10 and 1,647.75

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Solution

The fourth proportional to 3,045, 4,202.10 and 1,647.75 is: 2,273.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045 : 4,202.10 = 1,647.75 : x
  2. Step 2: Convert to fraction form
    3,045/4,202.10 = 1,647.75/x
  3. Step 3: Cross multiply
    3,045x = 4,202.10 × 1,647.75
  4. Step 4: Simplify right side
    3,045x = 6,924,010.28
  5. Step 5: Solve for x
    x = 6,924,010.28/3,045
  6. Step 6: Final answer
    x = 2,273.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.