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Finding the Fourth Proportional to 2,676.68, 4,015.98 and 945.56

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Solution

The fourth proportional to 2,676.68, 4,015.98 and 945.56 is: 1,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.68 : 4,015.98 = 945.56 : x
  2. Step 2: Convert to fraction form
    2,676.68/4,015.98 = 945.56/x
  3. Step 3: Cross multiply
    2,676.68x = 4,015.98 × 945.56
  4. Step 4: Simplify right side
    2,676.68x = 3,797,350.05
  5. Step 5: Solve for x
    x = 3,797,350.05/2,676.68
  6. Step 6: Final answer
    x = 1,418.68

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1.5x scale

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.