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Finding the Fourth Proportional to 4,241.86, 6,361.70 and 1,318.66

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Solution

The fourth proportional to 4,241.86, 6,361.70 and 1,318.66 is: 1,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.86 : 6,361.70 = 1,318.66 : x
  2. Step 2: Convert to fraction form
    4,241.86/6,361.70 = 1,318.66/x
  3. Step 3: Cross multiply
    4,241.86x = 6,361.70 × 1,318.66
  4. Step 4: Simplify right side
    4,241.86x = 8,388,919.32
  5. Step 5: Solve for x
    x = 8,388,919.32/4,241.86
  6. Step 6: Final answer
    x = 1,977.65

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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.