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Finding the Fourth Proportional to 1,908.43, 2,864.06 and 676.87

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Solution

The fourth proportional to 1,908.43, 2,864.06 and 676.87 is: 1,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.43 : 2,864.06 = 676.87 : x
  2. Step 2: Convert to fraction form
    1,908.43/2,864.06 = 676.87/x
  3. Step 3: Cross multiply
    1,908.43x = 2,864.06 × 676.87
  4. Step 4: Simplify right side
    1,908.43x = 1,938,578.59
  5. Step 5: Solve for x
    x = 1,938,578.59/1,908.43
  6. Step 6: Final answer
    x = 1,015.80

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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.