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Finding the Fourth Proportional to 4,241.85, 6,358.90 and 1,642.83

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Solution

The fourth proportional to 4,241.85, 6,358.90 and 1,642.83 is: 2,462.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.85 : 6,358.90 = 1,642.83 : x
  2. Step 2: Convert to fraction form
    4,241.85/6,358.90 = 1,642.83/x
  3. Step 3: Cross multiply
    4,241.85x = 6,358.90 × 1,642.83
  4. Step 4: Simplify right side
    4,241.85x = 10,446,591.69
  5. Step 5: Solve for x
    x = 10,446,591.69/4,241.85
  6. Step 6: Final answer
    x = 2,462.74

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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.