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Finding the Fourth Proportional to 2,241.84, 3,093.38 and 1,247.12

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Solution

The fourth proportional to 2,241.84, 3,093.38 and 1,247.12 is: 1,720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.84 : 3,093.38 = 1,247.12 : x
  2. Step 2: Convert to fraction form
    2,241.84/3,093.38 = 1,247.12/x
  3. Step 3: Cross multiply
    2,241.84x = 3,093.38 × 1,247.12
  4. Step 4: Simplify right side
    2,241.84x = 3,857,803.72
  5. Step 5: Solve for x
    x = 3,857,803.72/2,241.84
  6. Step 6: Final answer
    x = 1,720.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.