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Finding the Fourth Proportional to 2,676.68, 4,016.84 and 945.30

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Solution

The fourth proportional to 2,676.68, 4,016.84 and 945.30 is: 1,418.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.68 : 4,016.84 = 945.30 : x
  2. Step 2: Convert to fraction form
    2,676.68/4,016.84 = 945.30/x
  3. Step 3: Cross multiply
    2,676.68x = 4,016.84 × 945.30
  4. Step 4: Simplify right side
    2,676.68x = 3,797,129.19
  5. Step 5: Solve for x
    x = 3,797,129.19/2,676.68
  6. Step 6: Final answer
    x = 1,418.60

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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.