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Finding the Fourth Proportional to 3,241.83, 4,861.02 and 1,020.25

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Solution

The fourth proportional to 3,241.83, 4,861.02 and 1,020.25 is: 1,529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.83 : 4,861.02 = 1,020.25 : x
  2. Step 2: Convert to fraction form
    3,241.83/4,861.02 = 1,020.25/x
  3. Step 3: Cross multiply
    3,241.83x = 4,861.02 × 1,020.25
  4. Step 4: Simplify right side
    3,241.83x = 4,959,455.66
  5. Step 5: Solve for x
    x = 4,959,455.66/3,241.83
  6. Step 6: Final answer
    x = 1,529.83

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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.