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Finding the Fourth Proportional to 4,241.84, 6,362.73 and 1,644.75

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Solution

The fourth proportional to 4,241.84, 6,362.73 and 1,644.75 is: 2,467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.84 : 6,362.73 = 1,644.75 : x
  2. Step 2: Convert to fraction form
    4,241.84/6,362.73 = 1,644.75/x
  3. Step 3: Cross multiply
    4,241.84x = 6,362.73 × 1,644.75
  4. Step 4: Simplify right side
    4,241.84x = 10,465,100.17
  5. Step 5: Solve for x
    x = 10,465,100.17/4,241.84
  6. Step 6: Final answer
    x = 2,467.12

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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.