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Finding the Fourth Proportional to 2,241.92, 3,360.83 and 943.48

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Solution

The fourth proportional to 2,241.92, 3,360.83 and 943.48 is: 1,414.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.92 : 3,360.83 = 943.48 : x
  2. Step 2: Convert to fraction form
    2,241.92/3,360.83 = 943.48/x
  3. Step 3: Cross multiply
    2,241.92x = 3,360.83 × 943.48
  4. Step 4: Simplify right side
    2,241.92x = 3,170,875.89
  5. Step 5: Solve for x
    x = 3,170,875.89/2,241.92
  6. Step 6: Final answer
    x = 1,414.36

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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.