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Finding the Fourth Proportional to 4,241.60, 6,362.34 and 1,642.70

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Solution

The fourth proportional to 4,241.60, 6,362.34 and 1,642.70 is: 2,464.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.60 : 6,362.34 = 1,642.70 : x
  2. Step 2: Convert to fraction form
    4,241.60/6,362.34 = 1,642.70/x
  3. Step 3: Cross multiply
    4,241.60x = 6,362.34 × 1,642.70
  4. Step 4: Simplify right side
    4,241.60x = 10,451,415.92
  5. Step 5: Solve for x
    x = 10,451,415.92/4,241.60
  6. Step 6: Final answer
    x = 2,464.03

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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.