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Finding the Fourth Proportional to 2,551.03, 3,826.10 and 676.94

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Solution

The fourth proportional to 2,551.03, 3,826.10 and 676.94 is: 1,015.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.03 : 3,826.10 = 676.94 : x
  2. Step 2: Convert to fraction form
    2,551.03/3,826.10 = 676.94/x
  3. Step 3: Cross multiply
    2,551.03x = 3,826.10 × 676.94
  4. Step 4: Simplify right side
    2,551.03x = 2,590,022.70
  5. Step 5: Solve for x
    x = 2,590,022.70/2,551.03
  6. Step 6: Final answer
    x = 1,015.28

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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.