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Finding the Fourth Proportional to 2,241.68, 3,362.49 and 762.57

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Solution

The fourth proportional to 2,241.68, 3,362.49 and 762.57 is: 1,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.68 : 3,362.49 = 762.57 : x
  2. Step 2: Convert to fraction form
    2,241.68/3,362.49 = 762.57/x
  3. Step 3: Cross multiply
    2,241.68x = 3,362.49 × 762.57
  4. Step 4: Simplify right side
    2,241.68x = 2,564,134.00
  5. Step 5: Solve for x
    x = 2,564,134.00/2,241.68
  6. Step 6: Final answer
    x = 1,143.85

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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.