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Finding the Fourth Proportional to 4,241.70, 6,363.09 and 1,644.30

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Solution

The fourth proportional to 4,241.70, 6,363.09 and 1,644.30 is: 2,466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.70 : 6,363.09 = 1,644.30 : x
  2. Step 2: Convert to fraction form
    4,241.70/6,363.09 = 1,644.30/x
  3. Step 3: Cross multiply
    4,241.70x = 6,363.09 × 1,644.30
  4. Step 4: Simplify right side
    4,241.70x = 10,462,828.89
  5. Step 5: Solve for x
    x = 10,462,828.89/4,241.70
  6. Step 6: Final answer
    x = 2,466.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.