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Finding the Fourth Proportional to 3,241.80, 4,863.47 and 1,050.53

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Solution

The fourth proportional to 3,241.80, 4,863.47 and 1,050.53 is: 1,576.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.80 : 4,863.47 = 1,050.53 : x
  2. Step 2: Convert to fraction form
    3,241.80/4,863.47 = 1,050.53/x
  3. Step 3: Cross multiply
    3,241.80x = 4,863.47 × 1,050.53
  4. Step 4: Simplify right side
    3,241.80x = 5,109,221.14
  5. Step 5: Solve for x
    x = 5,109,221.14/3,241.80
  6. Step 6: Final answer
    x = 1,576.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.