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Finding the Fourth Proportional to 2,906.14, 4,011.48 and 1,788.96

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Solution

The fourth proportional to 2,906.14, 4,011.48 and 1,788.96 is: 2,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.14 : 4,011.48 = 1,788.96 : x
  2. Step 2: Convert to fraction form
    2,906.14/4,011.48 = 1,788.96/x
  3. Step 3: Cross multiply
    2,906.14x = 4,011.48 × 1,788.96
  4. Step 4: Simplify right side
    2,906.14x = 7,176,377.26
  5. Step 5: Solve for x
    x = 7,176,377.26/2,906.14
  6. Step 6: Final answer
    x = 2,469.38

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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.