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Finding the Fourth Proportional to 2,906.28, 4,011.14 and 1,845

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Solution

The fourth proportional to 2,906.28, 4,011.14 and 1,845 is: 2,546.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.28 : 4,011.14 = 1,845 : x
  2. Step 2: Convert to fraction form
    2,906.28/4,011.14 = 1,845/x
  3. Step 3: Cross multiply
    2,906.28x = 4,011.14 × 1,845
  4. Step 4: Simplify right side
    2,906.28x = 7,400,553.30
  5. Step 5: Solve for x
    x = 7,400,553.30/2,906.28
  6. Step 6: Final answer
    x = 2,546.40

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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.