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Finding the Fourth Proportional to 1,676.54, 2,514.81 and 946.73

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Solution

The fourth proportional to 1,676.54, 2,514.81 and 946.73 is: 1,420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.54 : 2,514.81 = 946.73 : x
  2. Step 2: Convert to fraction form
    1,676.54/2,514.81 = 946.73/x
  3. Step 3: Cross multiply
    1,676.54x = 2,514.81 × 946.73
  4. Step 4: Simplify right side
    1,676.54x = 2,380,846.07
  5. Step 5: Solve for x
    x = 2,380,846.07/1,676.54
  6. Step 6: Final answer
    x = 1,420.10

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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.