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Finding the Fourth Proportional to 2,676.96, 4,015.36 and 2,604

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Solution

The fourth proportional to 2,676.96, 4,015.36 and 2,604 is: 3,905.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.96 : 4,015.36 = 2,604 : x
  2. Step 2: Convert to fraction form
    2,676.96/4,015.36 = 2,604/x
  3. Step 3: Cross multiply
    2,676.96x = 4,015.36 × 2,604
  4. Step 4: Simplify right side
    2,676.96x = 10,455,997.44
  5. Step 5: Solve for x
    x = 10,455,997.44/2,676.96
  6. Step 6: Final answer
    x = 3,905.92

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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.