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Finding the Fourth Proportional to 3,241.96, 4,862.36 and 1,597.96

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Solution

The fourth proportional to 3,241.96, 4,862.36 and 1,597.96 is: 2,396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.96 : 4,862.36 = 1,597.96 : x
  2. Step 2: Convert to fraction form
    3,241.96/4,862.36 = 1,597.96/x
  3. Step 3: Cross multiply
    3,241.96x = 4,862.36 × 1,597.96
  4. Step 4: Simplify right side
    3,241.96x = 7,769,856.79
  5. Step 5: Solve for x
    x = 7,769,856.79/3,241.96
  6. Step 6: Final answer
    x = 2,396.65

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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.